{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Machine Learning with PyTorch and Scikit-Learn  \n",
    "# -- Code Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Package version checks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add folder to path in order to load from the check_packages.py script:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.insert(0, '..')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check recommended package versions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OK] Your Python version is 3.9.6 | packaged by conda-forge | (default, Jul 11 2021, 03:35:11) \n",
      "[Clang 11.1.0 ]\n",
      "[OK] numpy 1.21.5\n",
      "[OK] matplotlib 3.5.1\n",
      "[OK] sklearn 1.0.1\n",
      "[OK] pandas 1.3.5\n"
     ]
    }
   ],
   "source": [
    "from python_environment_check import check_packages\n",
    "\n",
    "\n",
    "d = {\n",
    "    'numpy': '1.21.2',\n",
    "    'matplotlib': '3.4.3',\n",
    "    'sklearn': '1.0',\n",
    "    'pandas': '1.3.2'\n",
    "}\n",
    "check_packages(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 5 - Compressing Data via Dimensionality Reduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Unsupervised dimensionality reduction via principal component analysis](#Unsupervised-dimensionality-reduction-via-principal-component-analysis)\n",
    "  - [The main steps behind principal component analysis](#The-main-steps-behind-principal-component-analysis)\n",
    "  - [Extracting the principal components step-by-step](#Extracting-the-principal-components-step-by-step)\n",
    "  - [Total and explained variance](#Total-and-explained-variance)\n",
    "  - [Feature transformation](#Feature-transformation)\n",
    "  - [Principal component analysis in scikit-learn](#Principal-component-analysis-in-scikit-learn)\n",
    "  - [Assessing feature contributions](#Assessing-feature-contributions)\n",
    "- [Supervised data compression via linear discriminant analysis](#Supervised-data-compression-via-linear-discriminant-analysis)\n",
    "  - [Principal component analysis versus linear discriminant analysis](#Principal-component-analysis-versus-linear-discriminant-analysis)\n",
    "  - [The inner workings of linear discriminant analysis](#The-inner-workings-of-linear-discriminant-analysis)\n",
    "  - [Computing the scatter matrices](#Computing-the-scatter-matrices)\n",
    "  - [Selecting linear discriminants for the new feature subspace](#Selecting-linear-discriminants-for-the-new-feature-subspace)\n",
    "  - [Projecting examples onto the new feature space](#Projecting-examples-onto-the-new-feature-space)\n",
    "  - [LDA via scikit-learn](#LDA-via-scikit-learn)\n",
    "- [Nonlinear dimensionality reduction techniques](#Nonlinear-dimensionality-reduction-techniques)\n",
    "  - [Visualizing data via t-distributed stochastic neighbor embedding](#Visualizing-data-via-t-distributed-stochastic-neighbor-embedding)\n",
    "- [Summary](#Summary)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unsupervised dimensionality reduction via principal component analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The main steps behind principal component analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='figures/05_01.png', width=400) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extracting the principal components step-by-step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Class label</th>\n",
       "      <th>Alcohol</th>\n",
       "      <th>Malic acid</th>\n",
       "      <th>Ash</th>\n",
       "      <th>Alcalinity of ash</th>\n",
       "      <th>Magnesium</th>\n",
       "      <th>Total phenols</th>\n",
       "      <th>Flavanoids</th>\n",
       "      <th>Nonflavanoid phenols</th>\n",
       "      <th>Proanthocyanins</th>\n",
       "      <th>Color intensity</th>\n",
       "      <th>Hue</th>\n",
       "      <th>OD280/OD315 of diluted wines</th>\n",
       "      <th>Proline</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>14.23</td>\n",
       "      <td>1.71</td>\n",
       "      <td>2.43</td>\n",
       "      <td>15.6</td>\n",
       "      <td>127</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.06</td>\n",
       "      <td>0.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>5.64</td>\n",
       "      <td>1.04</td>\n",
       "      <td>3.92</td>\n",
       "      <td>1065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>13.20</td>\n",
       "      <td>1.78</td>\n",
       "      <td>2.14</td>\n",
       "      <td>11.2</td>\n",
       "      <td>100</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.76</td>\n",
       "      <td>0.26</td>\n",
       "      <td>1.28</td>\n",
       "      <td>4.38</td>\n",
       "      <td>1.05</td>\n",
       "      <td>3.40</td>\n",
       "      <td>1050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>13.16</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.67</td>\n",
       "      <td>18.6</td>\n",
       "      <td>101</td>\n",
       "      <td>2.80</td>\n",
       "      <td>3.24</td>\n",
       "      <td>0.30</td>\n",
       "      <td>2.81</td>\n",
       "      <td>5.68</td>\n",
       "      <td>1.03</td>\n",
       "      <td>3.17</td>\n",
       "      <td>1185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>14.37</td>\n",
       "      <td>1.95</td>\n",
       "      <td>2.50</td>\n",
       "      <td>16.8</td>\n",
       "      <td>113</td>\n",
       "      <td>3.85</td>\n",
       "      <td>3.49</td>\n",
       "      <td>0.24</td>\n",
       "      <td>2.18</td>\n",
       "      <td>7.80</td>\n",
       "      <td>0.86</td>\n",
       "      <td>3.45</td>\n",
       "      <td>1480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>13.24</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.87</td>\n",
       "      <td>21.0</td>\n",
       "      <td>118</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.69</td>\n",
       "      <td>0.39</td>\n",
       "      <td>1.82</td>\n",
       "      <td>4.32</td>\n",
       "      <td>1.04</td>\n",
       "      <td>2.93</td>\n",
       "      <td>735</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Class label  Alcohol  Malic acid   Ash  Alcalinity of ash  Magnesium  \\\n",
       "0            1    14.23        1.71  2.43               15.6        127   \n",
       "1            1    13.20        1.78  2.14               11.2        100   \n",
       "2            1    13.16        2.36  2.67               18.6        101   \n",
       "3            1    14.37        1.95  2.50               16.8        113   \n",
       "4            1    13.24        2.59  2.87               21.0        118   \n",
       "\n",
       "   Total phenols  Flavanoids  Nonflavanoid phenols  Proanthocyanins  \\\n",
       "0           2.80        3.06                  0.28             2.29   \n",
       "1           2.65        2.76                  0.26             1.28   \n",
       "2           2.80        3.24                  0.30             2.81   \n",
       "3           3.85        3.49                  0.24             2.18   \n",
       "4           2.80        2.69                  0.39             1.82   \n",
       "\n",
       "   Color intensity   Hue  OD280/OD315 of diluted wines  Proline  \n",
       "0             5.64  1.04                          3.92     1065  \n",
       "1             4.38  1.05                          3.40     1050  \n",
       "2             5.68  1.03                          3.17     1185  \n",
       "3             7.80  0.86                          3.45     1480  \n",
       "4             4.32  1.04                          2.93      735  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df_wine = pd.read_csv('https://archive.ics.uci.edu/ml/'\n",
    "                      'machine-learning-databases/wine/wine.data',\n",
    "                      header=None)\n",
    "\n",
    "# if the Wine dataset is temporarily unavailable from the\n",
    "# UCI machine learning repository, un-comment the following line\n",
    "# of code to load the dataset from a local path:\n",
    "\n",
    "# df_wine = pd.read_csv('wine.data', header=None)\n",
    "\n",
    "df_wine.columns = ['Class label', 'Alcohol', 'Malic acid', 'Ash',\n",
    "                   'Alcalinity of ash', 'Magnesium', 'Total phenols',\n",
    "                   'Flavanoids', 'Nonflavanoid phenols', 'Proanthocyanins',\n",
    "                   'Color intensity', 'Hue',\n",
    "                   'OD280/OD315 of diluted wines', 'Proline']\n",
    "\n",
    "df_wine.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Splitting the data into 70% training and 30% test subsets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X, y = df_wine.iloc[:, 1:].values, df_wine.iloc[:, 0].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = \\\n",
    "    train_test_split(X, y, test_size=0.3, \n",
    "                     stratify=y,\n",
    "                     random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Standardizing the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "sc = StandardScaler()\n",
    "X_train_std = sc.fit_transform(X_train)\n",
    "X_test_std = sc.transform(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "**Note**\n",
    "\n",
    "Accidentally, I wrote `X_test_std = sc.fit_transform(X_test)` instead of `X_test_std = sc.transform(X_test)`. In this case, it wouldn't make a big difference since the mean and standard deviation of the test set should be (quite) similar to the training set. However, as you remember from Chapter 3, the correct way is to re-use parameters from the training set if we are doing any kind of transformation -- the test set should basically stand for \"new, unseen\" data.\n",
    "\n",
    "My initial typo reflects a common mistake which is that some people are *not* re-using these parameters from the model training/building and standardize the new data \"from scratch.\" Here is a simple example to explain why this is a problem.\n",
    "\n",
    "Let's assume we have a simple training set consisting of 3 examples with 1 feature (let's call this feature \"length\"):\n",
    "\n",
    "- train_1: 10 cm -> class_2\n",
    "- train_2: 20 cm -> class_2\n",
    "- train_3: 30 cm -> class_1\n",
    "\n",
    "mean: 20, std.: 8.2\n",
    "\n",
    "After standardization, the transformed feature values are\n",
    "\n",
    "- train_std_1: -1.21 -> class_2\n",
    "- train_std_2: 0 -> class_2\n",
    "- train_std_3: 1.21 -> class_1\n",
    "\n",
    "Next, let's assume our model has learned to classify examples with a standardized length value < 0.6 as class_2 (class_1 otherwise). So far so good. Now, let's say we have 3 unlabeled data points that we want to classify:\n",
    "\n",
    "- new_4: 5 cm -> class ?\n",
    "- new_5: 6 cm -> class ?\n",
    "- new_6: 7 cm -> class ?\n",
    "\n",
    "If we look at the \"unstandardized \"length\" values in our training datast, it is intuitive to say that all of these examples are likely belonging to class_2. However, if we standardize these by re-computing standard deviation and mean you would get similar values as before in the training set and your classifier would (probably incorrectly) classify examples 4 and 5 as class_2.\n",
    "\n",
    "- new_std_4: -1.21 -> class_2\n",
    "- new_std_5: 0 -> class_2\n",
    "- new_std_6: 1.21 -> class_1\n",
    "\n",
    "However, if we use the parameters from your \"training set standardization,\" we'd get the values:\n",
    "\n",
    "- example5: -18.37 -> class_2\n",
    "- example6: -17.15 -> class_2\n",
    "- example7: -15.92 -> class_2\n",
    "\n",
    "The values 5 cm, 6 cm, and 7 cm are much lower than anything we have seen in the training set previously. Thus, it only makes sense that the standardized features of the \"new examples\" are much lower than every standardized feature in the training set.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Eigendecomposition of the covariance matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Eigenvalues \n",
      " [4.84274532 2.41602459 1.54845825 0.96120438 0.84166161 0.6620634\n",
      " 0.51828472 0.34650377 0.3131368  0.10754642 0.21357215 0.15362835\n",
      " 0.1808613 ]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "cov_mat = np.cov(X_train_std.T)\n",
    "eigen_vals, eigen_vecs = np.linalg.eig(cov_mat)\n",
    "\n",
    "print('\\nEigenvalues \\n', eigen_vals)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**: \n",
    "\n",
    "Above, I used the [`numpy.linalg.eig`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eig.html) function to decompose the symmetric covariance matrix into its eigenvalues and eigenvectors.\n",
    "    <pre>>>> eigen_vals, eigen_vecs = np.linalg.eig(cov_mat)</pre>\n",
    "    This is not really a \"mistake,\" but probably suboptimal. It would be better to use [`numpy.linalg.eigh`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eigh.html) in such cases, which has been designed for [Hermetian matrices](https://en.wikipedia.org/wiki/Hermitian_matrix). The latter always returns real  eigenvalues; whereas the numerically less stable `np.linalg.eig` can decompose nonsymmetric square matrices, you may find that it returns complex eigenvalues in certain cases. (S.R.)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Total and explained variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "tot = sum(eigen_vals)\n",
    "var_exp = [(i / tot) for i in sorted(eigen_vals, reverse=True)]\n",
    "cum_var_exp = np.cumsum(var_exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "plt.bar(range(1, 14), var_exp, align='center',\n",
    "        label='Individual explained variance')\n",
    "plt.step(range(1, 14), cum_var_exp, where='mid',\n",
    "         label='Cumulative explained variance')\n",
    "plt.ylabel('Explained variance ratio')\n",
    "plt.xlabel('Principal component index')\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_02.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make a list of (eigenvalue, eigenvector) tuples\n",
    "eigen_pairs = [(np.abs(eigen_vals[i]), eigen_vecs[:, i])\n",
    "               for i in range(len(eigen_vals))]\n",
    "\n",
    "# Sort the (eigenvalue, eigenvector) tuples from high to low\n",
    "eigen_pairs.sort(key=lambda k: k[0], reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matrix W:\n",
      " [[-0.13724218  0.50303478]\n",
      " [ 0.24724326  0.16487119]\n",
      " [-0.02545159  0.24456476]\n",
      " [ 0.20694508 -0.11352904]\n",
      " [-0.15436582  0.28974518]\n",
      " [-0.39376952  0.05080104]\n",
      " [-0.41735106 -0.02287338]\n",
      " [ 0.30572896  0.09048885]\n",
      " [-0.30668347  0.00835233]\n",
      " [ 0.07554066  0.54977581]\n",
      " [-0.32613263 -0.20716433]\n",
      " [-0.36861022 -0.24902536]\n",
      " [-0.29669651  0.38022942]]\n"
     ]
    }
   ],
   "source": [
    "w = np.hstack((eigen_pairs[0][1][:, np.newaxis],\n",
    "               eigen_pairs[1][1][:, np.newaxis]))\n",
    "print('Matrix W:\\n', w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**\n",
    "Depending on which version of NumPy and LAPACK you are using, you may obtain the Matrix W with its signs flipped. Please note that this is not an issue: If $v$ is an eigenvector of a matrix $\\Sigma$, we have\n",
    "\n",
    "$$\\Sigma v = \\lambda v,$$\n",
    "\n",
    "where $\\lambda$ is our eigenvalue,\n",
    "\n",
    "\n",
    "then $-v$ is also an eigenvector that has the same eigenvalue, since\n",
    "$$\\Sigma \\cdot (-v) = -\\Sigma v = -\\lambda v = \\lambda \\cdot (-v).$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.38299011, 0.45458499])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_std[0].dot(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_train_pca = X_train_std.dot(w)\n",
    "colors = ['r', 'b', 'g']\n",
    "markers = ['o', 's', '^']\n",
    "\n",
    "for l, c, m in zip(np.unique(y_train), colors, markers):\n",
    "    plt.scatter(X_train_pca[y_train == l, 0], \n",
    "                X_train_pca[y_train == l, 1], \n",
    "                c=c, label=f'Class {l}', marker=m)\n",
    "\n",
    "plt.xlabel('PC 1')\n",
    "plt.ylabel('PC 2')\n",
    "plt.legend(loc='lower left')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_03.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal component analysis in scikit-learn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**NOTE**\n",
    "\n",
    "The following four code cells have been added in addition to the content to the book, to illustrate how to replicate the results from our own PCA implementation in scikit-learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.36951469, 0.18434927, 0.11815159, 0.07334252, 0.06422108,\n",
       "       0.05051724, 0.03954654, 0.02643918, 0.02389319, 0.01629614,\n",
       "       0.01380021, 0.01172226, 0.00820609])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA()\n",
    "X_train_pca = pca.fit_transform(X_train_std)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(range(1, 14), pca.explained_variance_ratio_, align='center')\n",
    "plt.step(range(1, 14), np.cumsum(pca.explained_variance_ratio_), where='mid')\n",
    "plt.ylabel('Explained variance ratio')\n",
    "plt.xlabel('Principal components')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "X_train_pca = pca.fit_transform(X_train_std)\n",
    "X_test_pca = pca.transform(X_test_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_train_pca[:, 0], X_train_pca[:, 1])\n",
    "plt.xlabel('PC 1')\n",
    "plt.ylabel('PC 2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02):\n",
    "\n",
    "    # setup marker generator and color map\n",
    "    markers = ('o', 's', '^', 'v', '<')\n",
    "    colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
    "    cmap = ListedColormap(colors[:len(np.unique(y))])\n",
    "\n",
    "    # plot the decision surface\n",
    "    x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
    "    x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
    "    xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n",
    "                           np.arange(x2_min, x2_max, resolution))\n",
    "    lab = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
    "    lab = lab.reshape(xx1.shape)\n",
    "    plt.contourf(xx1, xx2, lab, alpha=0.3, cmap=cmap)\n",
    "    plt.xlim(xx1.min(), xx1.max())\n",
    "    plt.ylim(xx2.min(), xx2.max())\n",
    "\n",
    "    # plot class examples\n",
    "    for idx, cl in enumerate(np.unique(y)):\n",
    "        plt.scatter(x=X[y == cl, 0], \n",
    "                    y=X[y == cl, 1],\n",
    "                    alpha=0.8, \n",
    "                    c=colors[idx],\n",
    "                    marker=markers[idx], \n",
    "                    label=f'Class {cl}', \n",
    "                    edgecolor='black')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Training logistic regression classifier using the first 2 principal components."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "X_train_pca = pca.fit_transform(X_train_std)\n",
    "X_test_pca = pca.transform(X_test_std)\n",
    "\n",
    "lr = LogisticRegression(multi_class='ovr', random_state=1, solver='lbfgs')\n",
    "lr = lr.fit(X_train_pca, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X_train_pca, y_train, classifier=lr)\n",
    "plt.xlabel('PC 1')\n",
    "plt.ylabel('PC 2')\n",
    "plt.legend(loc='lower left')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_04.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X_test_pca, y_test, classifier=lr)\n",
    "plt.xlabel('PC 1')\n",
    "plt.ylabel('PC 2')\n",
    "plt.legend(loc='lower left')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_05.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.36951469, 0.18434927, 0.11815159, 0.07334252, 0.06422108,\n",
       "       0.05051724, 0.03954654, 0.02643918, 0.02389319, 0.01629614,\n",
       "       0.01380021, 0.01172226, 0.00820609])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=None)\n",
    "X_train_pca = pca.fit_transform(X_train_std)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assessing feature contributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wY1H3Q40RTCaNv8P3A8fYPlvSdzKW36zsexmW6Ig6YPuk5sfFL8y2nyupysclfYP0R2VgDyD3KGJ+2wdmLhOApumEyyQdDpwJ/LvxvO0bS6j2AeC2kjohgHOLEd6LpBe6xYGXSqprXDF9tR3wE9svS8p5X1XeiyRtAuwO7F1cy/a6I+n1pL+PjwKPAl8gZWBZFzgDyDnd9B/bbvwuJE3IWDbAg5J+RhrhHSrpdZS3fFL2vQxLdETDIGlN4GRg0fRQ/wQ+VkLGh12BbzOw6ffK4lpOf5C0TWP6L7MftjxuzmNlYKsS6vwqMEXSFcza6f1vjsJtHyTpUOAZ269Iep50LEkZfgbcB0wHrpS0HPBMrsIrvpf9gf8GzrJ9u6QVgcsylv9n0t/kdrZnNF2fWkxx53R60VEsLOlTpOnAn2csfyfgfcARtp+StCRwQMbym5V9L8MSa0TDIOlPpOzhlxWPtwC+Z/ttdbZrOCQ9S+oMBEwgvWi/TOY1lapJugh4DrgVeLVx3fbBXZb74aGet31mN+UPox3zFGmvuimjJ+4lJ0k72T695dqOts8oqb53A+8h/b1caPvizOVvBqxie3IxUl3A9t9z1tFUV6n3Mqy2REfUOUnTWxd0213rovwf2f6ipHNpExxh+4M56qmKpP2BycCzpHdb65Pm7S8qoa5SMghLmjzE084c3PGloZ7vdnRX5b001bkq8BVmD4rJMiqWdKPt9ed0bSTotQCCKsXU3PDcK+mbpKkASHPTOd+tNMo9ImOZbUnaFLjZ9vNF6O76wI9s35+xmr1sHynpvcAbgD1JHVP2jgi4RNJ7cndytvfMWd4cNBaLVwM2YiDb/Lak6dmuVHwvDWcAxwLHkzEopogk3QZYWtKPm56aCHQ1chyizsZsAsC8pKCP5zPOIlQWQFCMjg8l/V2KmmdEoiManr2Ag0mL7yK9OGT747bd2Cs0FXjR9qsAksYCr8tVT+EYYB1J65DWV35B6gjfkbGORijWNsBk29NL3OvxOeCrkkqZapS0EGndbvPi0hXAIbafzlE+DEwjFtOM69t+tnj8HdILehZV3EuTmbaPKaHch0h/Jx9k1j12z5LC0bOzPUunIGk7Ush4LlUGEBwGbGv7jhLr6FhMzfUgSdeS9g09VzxeALgo51pUY/pC0reAB23/IveURjEVtDQpcmkdYCxwue0NctVRFUm/A24DGhGUHwXWsT3kustc1nVnUfa/i8evA6bbXj1T+VXey3eAx0iBN81BJFmyIeRYO+uy/mttvzVTWV8BVgHeTdpHtBfwa9tH5Si/pa5remnKLzqiYSh7vrupnpttrzuna13WcQVwAek/+9tJ2Rtusr12xjrGkMJo7y2igF4PLG37llx1NNW1ebvrtrue0irKL/130lTu10kRVGeRpoK2J53H9b1M5Vd5L+2mrm17xS7LPd32TpJuZdb11MZIONv/46Y6mzvqMaT1nHfY3iRjHZUEEEg6ElgC+D2zvkGoJWAlpuaGp5T57jael7R+Y7+NpA1Iez5y2hnYDdjT9iPFC3nWqQDbrxYvRKtKGp+z7Daaw1zHk6ZMppEvVPxFSZvZvhpeW2PL/TsBwPb/k3Q+6Q0CpN9Rtk2gVHsvZaWN2b/4/IGSym9n26avZ5JC7LOGvRcdTxXRaxOBF0id3mvVk5YdKhcjomGQNK2KaSVJGwGnkebBAZYEdm5aQ8pVz7qkzmgnUtDFmTmnASR9kvSCsQxwM/BW4M+5R5CD1L0scJjtLPuvirW0X5LS7Qj4F/AJ29NzlF/UMdEpo0Lb5LcZp7OquJetbP9xsJDxXO+8i3WUF4s3PasCqwPn2345R/lV6rUAgipFR9SBpheG/ShxvrulznGk6CkBd+b6wyr+WHchbZB9gpSb6yu2l8tRfktdt5Kiv651ym22OnCw7Z1z19WmbgG32F4rc7kTAWxn22DaVPYfbH+gGEU29no1dD2d1aa+Mu/lYNvfHiRkPFuouErOZVfUUUmuSUn3UHIAgaSvOqVZantPue5luGJqrjPTmPWFoXkayEDWF4jCasAapGmm9SRh+5cZyr2TlGNuW9v3AEgqJcoIeMn2S5KQ9Drbd0parYyKWv6wGmtTOd/hvw7YgWJ9sBH8Z/uQXHXY/kDxudQsyBXdy7eLz2WHjJeay67QnGvyYFLEYRkerSCKrVF+1fkzhxQdUQfKfmFoVWxs24LUEU0BtgauJk2ndGsH0ojoMkkXkKYAywqpniFpYdKC6MWSnmRgujG35j+smaRkntdkLP9s4GnSm5J/z+F7uybpgwyEV19u+w8Zi6/sXlo7vcb1jJ2eVGIuO5g116SkL7ol92RGUyX9hhIDCGyfW3wu6x7mSkzNDUMxXfYZml4ggJ/lno8uprTWIUWxrSPpjcDxtredw48Op44JpKSau5IW9E8i5QMrY7Mpkt5BWpO4wPZ/yqijTJJus71mRXX9gDSleUpxaVdgqu3/zlR+lfdyAQOdXvNRIK35COe2/M1JkazX2D5UKZfdF8uaYsq9xaGl7FKnMYs62mZtaaqsluwt0RENg6TjSbupm/dfvGL7k5nrud72xsX895akTXq32X5zznqa6lsU2JEUEFF6IEFOVYXxSjqONPVza47y5lDXLcC6nnVDc7bQ+orvpbJOrwpldkRVKN4QDsr2FVW1pVlMzQ3PRp41r9wflc49yW1qMaX1c9I7yeeA60uoB3gt2OJnxcdIU1UY72bAJ4pAgn9T4n6VwsKkaDZII8mcqryXP0laq6xOr4q9fZo1tc/8khrBHVmi2qoMIGjuaCTNC6xaPLyrzkjD6IiG5xVJK9n+G0AxDZB9P5HtzxZfHltMbUx0CZtAy1IEJpS+jgJg++Hiy8dpE8absaqtM5Y1J98HbpJ0GenFbnPSUQq5VHkvZXd6pe/tc0tqnxJUHkCgdHLASaS9UAKWlfRxZ9oAPuz2xNRc5yS9k5S0817SL2850mbDnOerjHgaSB90su2PVlRnFWG8VaboX5K0TiTgOtuPZC6/kntROktpNrb/kan8Svb2VUHSirbvraiuacButu8qHq9KCvCp5d8yRkTDYPtSSasw6/6eSt75jzDzSvo48LZ2GxpzRgE1KTWMV00p+klvRsaRTtAtK1/XGNIobx5SZopVc71brfJeGh2OpDeQtiLkdq6kz1LB3r4KnChpaeAGUkLlq0pcxxvX6IQAbN9dBGPVIjqiYZD0OeCUxjSZpEUk7W376Jqb1mv2JYXTLsysaVGgvDQiZYfxVpmi/1BSCqbbGTjkz2Q4CqJQ5b18kHRi71KkzeDLkaaicgXefLz4XMXevlLZ3rxYt9mItH3jPEkL2G6baaNL0yQ1Mu5D+rvJmrllOKIjGp5P2f5p44HtJ5WO2c3aEUl6K3C7B44BWBBYw/Z1Oespi1MOs6uVDqv7RUXVfpFyj6SuMkX/dqTD0coabVd5L98lpXa6xPZ6krYk47H3Ve/xK1MxXfr24mNh4A+kzedl2Jd0dMp+8NqRNrW9oY6OaHjGSJKLhbUirHbeEuo5hnRQXcPzba6NBCdL2o9Zz705tozonCIa6IrGi2ox155zL8npkn4GLFy8+diLFNVYhntJ02VldURV3svLtp+QNEbSGNuXFSO+LCTND3wJmGR7n8bUeeYNwFW5grS2+X1gSln77ZSy4k8rwuq7OvU3l+iIhudC0h/xsaTh/76koxRye62zg9eyWI/E39XRpBfUxjutj5I61Kz7rgCKablfAAsAk5QSe366KQKxK7aPUErR/wxpbeVbLilFPykr8s2SLmXWdY8sHWvF9/KU0nlaVwKnSHqMvCeoTiZNKTXO6ppBiqQbiR3R60nrdJsD+0l6lZQk+Js5KyleT6ZLmuS8JzLPtYiaG4bincSngXeShrMXkTIeZA0blXQmKWtD42TLzwJb2t4uZz1lkzS9Zd9V22uZ6roO+Ahwju31imsjcjNlEegxG/dYWpZOFCPUl0h/L7uT9kSdYvuJTOVPtb2hpJuafu+l/B+rgqQ3kU5Jfjupc73fds5Tkxv1/JG0FnU9acYFqC+zwkh8l12bYqf7MQx0EGXZF/gx8A3SyOtSYJ+S6yxDJfuuGmw/oFlPIs9WlypM0V92h1PlvQB7kjqeJxnISJLTfyTNR7ERVNJKVJALsAyS/gbcRVoXOpa0NaSsdFgHl1TuXImOqAOaPX1MM+d+92X7MVJi0pHuAFJy1Vn2XZVU1wOS3ga4iDzaj4GNgjkcRskp+huKdY7vM5B9HQDnOwaisnshnQJ6g6QbgRNIp47mnIb5Dml6fFlJp5CmtsrO+F2WVYo3u6VROqByX2Bl4FbgF67xqPWGmJrrwCCb8kQ68O1rtrfJVE9PnhXSDaXsy6Xvu5K0GHAk8C4Gpk33zzgFdI3tsvYMtdZ1Nemogf8jhb/vSfpbzXL8QJX3UtQn0kmge5L2L51OegH8W6byX0+KzBPp7KvHc5Q7Gill936ZNOraGviH7f2H/qnyxYioA827wDX7qaa/y1hVT54V0o2i4yk9PVHx4pMti0JD04bc0lP0N5mv2Dyt4v/edyRdRZfn4NR0LxSh4o8Aj5ACFRYBfivpYttf7aZsSZfafidwXptrYXZruDgssthHVFoOy+GIjqgDan+qqWxvmbMe9+hZISNBkabmU8ye/LLbFPrNG3JfIL2zf614ytmc+1IRGPNXSZ8HHiSt53Sr8nspwvc/TsoScTxwgO2XG/cHzFVHVEwxzQ8sJmkReO1MrYmkzbOhvde2Ttie2bKmWpuYmutAEUZ5FbC3B041vTfjnH2jnp48K2QkkPQn0u+o9dybnCPWSkjaiDQ6Xpi0IXQicLjta+ts19yQdAhpGm623HKS3jS361SS9idtYl6K1FE3XlGfAX5u+ydz1+LqSfrSUM/bzrbXR9IrDETJCZiP9KakzICVOYoRUWeqOtX0iBLKrI2k35EWqM8vexEWmN/2gWUVXkT8HUlaizDwZ9IBbGUkPZ1p+znS8R/ZF94rvpcpDBxnMUuWkG6CJWwfCRwp6Qu2j8rQzjo10iutRgqpPqd4vC350joBYHtszvJyiRHRMKjiU01HOknvIr2QvpW0yfBE23eWVNf/AH+yPaWk8q8FfgqcWlzaBfiC7beUUNdlwJKkf7PTbN+eufwq7+UmYP2mbCRjSKfNZssSUkRLLs+sU7K/zFV+VSRdBOzgWVN7nWH7ffW2rHzREc0llXiqaQXhu5WStBCp8/468AApncyvcqb6UTq8bAJp8f1lMk81SLqu9YVa0rW235qj/Db1LUEKiNmZNDX3G9v/k6nsyu5F0s221225dovznTZ7MrAScDMDU7IeoRGmdwLrNCJLi4jT6bZXr7dl5YuOqAeVHb5bpSK0dg9Sep+HgFNIh6WtZXuLGps2LJJ+ADxFmpY1qYN4HWlkUdqxA5LWIi3o72w7S17DKu+l7Cwhku4gTfWN+BcySV8nvfk4i/R72R443fb3am1YBaIj6kEqDvuSdGtTqOVVtt9ed9uGo3gRWp2Uav5ED5ym+lpqlox1tZvqeZq0T6LrDXtKJ4wOxjlHq0Wal51JKYueIHUYvys2Oucov8p7eQMpS0hj1uAS0npUrns5A9iv+f/WSFb8P278nV9pO9uZWr0sghV6U1nhu1U7vnXNRsUx4jk7ocLRpOzkjYPE1gKmA6+XtG+363iu9riByaT1m/fYfih34VXeSwVZQhYD/iLpembdEzVSI0znB55xcXKupBVKCiLpKTEi6kFtwncXAg4baeG7Ko4Mn9O1THWdBny3sbAvaQ1SiqHvAme2rlOEakhaBjiKlHrHwNWkjBczMpXfNiGo07EgI4qaTs61vaqkpUjBCpVlwahLjIh6kO0bii9LCd8tW7HQvjQwn6T1mHWz4fwlVbt6c3SZ7b9IWs/2vb2yaa9ToyxYZTLwa1JgD6T1wsnAu3MUPhI7nCFUdnJur4mOqIdIOmeo50fQdMN7gU+QcvE1b8Z7FvhaSXXeJekY0noKpDWWu4vIo+wH8ZVsMgPBKltSBKvU2qK5t7jtyU2PT5T0xW4LlXS17c2KaMnmaZ1aN2Z2qcqTc3tKTM31EEn/JIU3nwpcR8uLz0h79ydph6oyGygdBfBZUkSeSFNAR5POwpm/2CA6N+UOOY1o+8a5KXcOdZYSrFLTvVwCnMjAnqVdSccbRC64FpK+AqxCGi1+n3Ry7qm2f1xrwyoQHVEPUTp6/N2kP9a1SYkcT829obFskvaw/StJX6Z9FvGeOJ64E8Xm0sE49x6yos5rSJFTvwX+SApW+YHt1bost3Ev40lrEdNJnfbawHW2N+um/EHqnAT8BNiE9H/hT6Q1otlS/gRQOjn3PaTfy4Uu7+TcnhJTcz3E6aTXC4ALiimlXYHLJR0ywtKYNKYUFqiqwrLWVZw5sW2HvkhaS9uPFGyxFSlxaFca91IEduxj+9bi8ZrAV7otf5A67wdGypRyrSQd6pSm6uI210a1GBH1mKIDej+pE1qelHfqBNsP1tmuXlfFJuDiBbu1oxuJqWTaZTuY7VqmusrKij7qDBJlmi0LRS+LEVEPkXQSsCZwPnCw7dtqblJXKn4RKuUMn4YitHYLUkc0hXSo2NVAto5I1WVfv0PS8cCvivr2IO9pts3OJmVFv4TMx8QXU9kX2n5XznKrJukzpPXNFSU1n921IHBNPa2qVoyIeojScRONFO0jPhJIFR7NUNa6SlP5twLrADfZXkfSG0kbdredw48Op462e2IacgWrKJ3l8xlg8+LSlcAxtl/KUX5LXaWMtJrKPwf4qO2ny6qjbEUuxkVIU8sHNT31bFmpo3pNdEShNGW/CLXUVeomYEnX295Y0jRSSPWzwG2235yj/KKOScWayqih8rOin07K7n4xA2/i8MhMejqp3fXR9n+inZiaC2X6g6RtynoRalbBJuCpkhYmZQ6fVtST+5jl35PSFCHpd7Z3yFm4pNNt71SM7tpFM2Zbi2ja3yPga5JKyYpOiiw9b47fNTKcx8C/2XhgBeAuINubnV4VI6JQGpV8NENRR+WbgCUtD0y0fcucvneY5d5ke73WrzOWv6TthyUt1+75kRpSLWleYNXi4V3OeLxInYp9X5+2/em621K2GBGF0tiuIj3JJgyxCTgXSZc2NmHavq/1WiYe5Os8hRcZqm3/o1jj2qh46npnyobdqt2/Uc5/N0lbkA6ovI/0u19W0sdtZz3ZtA62byymnEe96IhCdpJWt33nYDv5M+/gX4KBTcC7kXkTcLGwPz+wmKRFmDVv3lI56miyjqRnijrmK76GzCNJSTsBh5POCRJwlKQDbP82R/lFHeNJo+Gy/91+SMpSfldR76qkNyUbZKyjEpK+1PRwDGma9p81NadS0RGFMnyZFLb9wzbPmYGzabpWwSbgT5M2mC5FkYyy8AzFQXK52B6bs7whfB3YqDEKKsLsLyFFHObS/O82jYGOKPe/27hGJwRg+25J4zKWX6XmGYSZpDdVlaTIqlusEYURr4pNwJK+MMKyWwyqOYdd8XgM6UjqtYb4sbmtq9R/N0knkN7cnFxc2h2Yx/aIy1rfz6IjCtlJ+vBQz9s+M2NdzZuATytrE3CxIL4vA3tvLgd+NhIXxiUdTsov10hEujNwS1mpZCS9jdk3NWfZCFy8CfkcA8lurwSOtv3vIX+wh1S4kblnRUcUspM0eYinnTOzQlWbgItMBONIC+MAHwVesf3JHOVXTdIOpMPqRDqS+qyS6jkZWAm4mYFNzR6J+3zKUtVG5l4WHVEIQ5A0j+2ZkqbbXqfludmuhVlJugNYw5lfaAbbC9XQD/nZRpMIVgilkvR+0oa85kShh9TXomG7nhS99IqklWz/DUDSimTOnVaVYur0UOANpBFRmSmkbiNFNj6cudwPZC6vNlVuNO5V0RGF0kg6lhT6vCVwPPAR8mcjKFsj2usrwGWS7i0eL88IPMa9cBiwre2yEp02Wwz4i6TrSRubge7XPZo331a1J6pE+xefR03nOlwxNRdK00hh3/R5AeBM2++pu22dkjSDgePO5wPGktakxgMvegQd8tcg6Rrbm1ZUV9v1j4wJXFv3RL0dyLonKpQvRkShTC8Wn1+QtBTwBCl/1kgylnTAX3PGhsaBf1VkjijDVEm/IeW2ax6lZItmbCqz7IX2KvZElaopL19bIy3r/tyIjiiU6Q9FotDDSZtBTZqiG0keHmFrWp2YCLxAOpK6wUD2jkjSW4GjgDcB81KMKDO+uI5pmYp7gpSVYMRopMKSdAjwCGlPlEh7okbqm51hiam5UIliv8f4kXZuTBnJR/uJpKnALsAZwIbAx4BVbH8tU/nt9kTdavurOcqvkqTrbL9lTtdGoxgRhdJI+hxwiu2nbP9b0vySPmv76LrbNgw5k5r2hCIP3N7MHs1YyvHdtu+RNLZIxzS5ODAxV9kHFFGAjQ2tx5W1J6oCr0jaHTiNNELdlREamTlcI2oIG0acT9l+qvHA9pOkHHQjhkfnCZknk0Kq3wtcASxDOuivDC8UWSlulnSYpP8iJUPtiqSVJW0KaW3L9pds/xfwhKSVui2/JrsBOwGPFh87FtdGveiIQpnGSHptkV/SWNI6QajXyra/SVqrOYmUpy97nrnCR0mvM58nRRsuC+Q48O9HtO88XyieG3Fs32f7Q7YXs7247e0aR46MdjE1F8p0IXB6sZ/IpFxtF9TbpEA6pBDgKUlrkhbIly+jouLso3mBSaRM0rkOrlu+3cGEtqcWBxeGESQ6olCmA0nHAXyGNH9/ESMvam40Oq44I+ibpEzlCxRfZ1fiwXXjh3huvi7LDhWLqLkQ+kxT4EAVdU0Ddms9uM52VwfXSToV+KPtn7dc35t0UN7O3ZRfJUn72z5S0qa2r6m7PXWIjihkFwkpe5uk+0lTpL8hvZiX9iLQyKoxp2tzUe4bgbOA/5AO3oMUHj4vsL3tR7opv0qSbra9rqQbbbc91Xi0i44oZCdpuaGeb84TFqonaT5gW9L+ng2Ac0lnOV1dQl2TgVcp6eA6SVuSzqMCuN32H3OUW6VidLcJsDjwt+anSMloR/0bt+iIQmWKcNvdbH+u7raEpFgrOhLYvYyjykfDwXVVkLQEKbhntmSw/fDGLYIVQqkkrcvA/oi/U0IamTB8RTLSnYGtgRtIv5/cdYwBptlek4HEsaGNYipxnSLCcNXicq4Iw54XHVHIrliQ3oW0M/wJ0lqEbG9Za8MCAJL+Tjox9XRSpurnh/6JuWP7VUnTJU2yfX8ZdYwmxZuDX5I/wrDnxdRcyK44vvsqYG/b9xTX7rW9Yr0tCwCSJtp+pqK6/kg6K+h6Bo507/o8otGorAjDkSBGRKEMO5BGRJdJuoCUO0tD/0io0H+KPIBV5Jo7uIQyR6txjU4IwPbdksbV2aCqxIgolEbSBGA70hTdVqSNjWfZvqjOdvU7SWcAd5LW7g4hRbLdYXv/IX9weHWMJ2XSWBm4FfiF7Zm5yh+NJJ1A2vZQSoRhL4uOKFRC0qKkJI47296q7vb0s8bRFk0n544DLsz5eykO3nuZNEW7NfCPnB3daNTPEYbREYXQZyRdb3tjSVcCnyXlmrs+5xqepFttr1V8PU9Rfl9u1gxzFmtEIfSfdrnmvpW5jtfCjm3PbErCHsJsYkQUQshO0isMRMmJlIj0BQayBeQ6KjyMAtERhdAnJH1pqOdtx6bTUIuYmguhfyxYdwPC7CSt3ThbqQgcORDYGLgN+B/bL9TZvirEiCiEPiHpUNsHStrR9hl1tyckzVm3Jf0QeD0wmbT14fW2P1Zj8yoRHVEIfaI4nmN94LqIYOsdjXD64uubgY1sv6wU4TG9H7Jvx9RcCP3jAuBxYIKk5hQ/EUBQr4UkbQ+MAV7XSHRq25L6YqQQI6IQ+oyks21/qO52hKQ4s6nZQbYfLY6GOMX2O+toV5WiIwohhFCrMXU3IIRQLUkflvRXSU9LekbSsy1TdaFHSHp33W2oQoyIQugzku4BtrV9R91tCUOTdL/tSXW3o2wRrBBC/3k0OqHeIemcwZ4ihXKPetERhdB/phbZsX8PvJbZ2XYc416PtwN7AM+1XBdpY+uoFx1RCP1nIinv23uarhmIjqge1wIv2L6i9QlJd7X5/lEn1ohCCCHUKqLmQugzkpaRdJakxyQ9Kul3kpapu12hf0VHFEL/mUw6h2gpYGng3OJaqIGk1SWdL+k8SStJOlHSU5Kul/SmuttXheiIQug/i9uebHtm8XEisHjdjepjxwFHA78C/khKxbQI8F3gJzW2qzLREYXQfx6XtIekscXHHsATdTeqjy1o+1zbpwIv2z7NybmkDmnUi44ohP6zF7AT8AjwMPCR4lqox9imr1sPJ5y3yobUJcK3Q+gztu8HPlh3O8JrfippAdvP2T66cVHSysAlNbarMhG+HUKfkPStIZ627e9W1pgQmsTUXAj94/k2HwB7k46nDjWRtKWkMyXdXnz8VtIWdberKjEiCqEPSVoQ2J/UCZ0O/ND2Y/W2qj9Jej8pOu4Q4EZSap/1gW8An7c9pcbmVSI6ohD6iKRFgS8BuwMnAUfafrLeVvU3SZcD+9ue3nJ9beAo2++opWEVimCFEPqEpMOBD5P2raxluzXJZqjHEq2dEIDtWyS9sY4GVS1GRCH0CUmvkrJtzyQlOX3tKVKwwsRaGtbnJE2zvcFwnxtNYkQUQp+wHcFJvWmlQc4kErBi1Y2pQ4yIQgihRpKGXANqdzzEaBMdUQgh9ABJ44GVSdOmf7P9Us1NqkwM1UMIoUaS5pF0GDCDFMn4K+ABSYdJGldv66oRHVEIIdTrcGBRYAXbG9heD1gJWBg4os6GVSWm5kIIoUaS/gqs6pYXY0ljgTttr1JPy6oTI6IQQqiXWzuh4uIrzBpmP2pFRxRCCPX6i6SPtV4szom6s4b2VC6m5kIIoUaSlgF+B7wITCONgjYC5gO2t/1gjc2rRHREIYTQAyRtBbyZtJH1dtuX1tykykRHFEIINZI0FbgGOB+4vJ/2DzVERxRCCDWSNA+wGfA+YEvgCeBC4Hzbd9fZtqpERxRCCD1E0pLA1qSOaWXgWtufrbdV5YqOKIQQepSkMcAmtq+puy1lio4ohBBqVEzN7Q1sDyxFipp7CDgb+IXtl2tsXiWiIwohhBpJOhV4ipRnbkZxeRng48CitneuqWmViY4ohBBqJOku26sN8tzdtletuk1Vi8wKIYRQrycl7VisBwFpbUjSzsCTNbarMtERhRBCvXYBPgI8KunuIgnqo8CHi+dGvZiaCyGEHiHp9aTX5cfrbkuVYkQUQgg1k7S5pNVsPwGsLukrkt5fd7uqEiOiEEKokaQfARsD85AyKryTlO7nHcBNtg+or3XViI4ohBBqJOl2YE1Stu0HgaVtv1AcE36T7TVrbWAFYmouhBDq1TgY79XG4+Lzq/TJa/Q8dTcghBD63HmSrgLGA8cDp0u6ljQ1d2WtLatITM2FEELNJG1CGhldK2klUrqf+4Hf2n516J8e+aIjCiGEUKu+mH8MIYReJWlZSadJukrS14oghcZzv6+xaZWJjiiEEOp1AnA58AVgSeCKYmMrwHJ1NapKEawQQgj1Wtz2scXXX5C0B3ClpA8yEEE3qkVHFEII9RonabztlwBs/0rSI6TNrRPqbVo1YmouhBDqdTzwluYLti8BdgRuq6VFFYuouRBCCLWKEVEIIdRM0paSzpR0e/HxW0lb1N2uqkRHFEIINSqybJ8AnAvsBuwOTAFOkLRNnW2rSkzNhRBCjSRdDuxve3rL9bWBo2y/o5aGVShGRCGEUK8lWjshANu3AG+soT2Vi44ohBDq9fxcPjdqxD6iEEKo10qSzmlzXcCKVTemDrFGFEIINZI05BqQ7SuqaktdoiMKIYQeIGk8sDIprc/fGpkW+kGsEYUQQo0kzSPpMGAGcBLwK+ABSYc1Z+IezaIjCiGEeh0OLAqsYHsD2+sBKwELA0fU2bCqxNRcCCHUSNJfgVXd8mIsaSxwp+1V6mlZdWJEFEII9XJrJ1RcfIU+OQYiOqIQQqjXXyR9rPVicS7RnTW0p3IxNRdCCDWStDRwJvAiMI00CtoImA/Y3vaDNTavEtERhRBCD5C0FfBm0kbW221fWnOTKhMdUQghhFrFGlEIIYRaRUcUQgihVtERhRBCqFV0RCGEEGr1/wHKnEyg0aBuggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "loadings = eigen_vecs * np.sqrt(eigen_vals)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.bar(range(13), loadings[:, 0], align='center')\n",
    "ax.set_ylabel('Loadings for PC 1')\n",
    "ax.set_xticks(range(13))\n",
    "ax.set_xticklabels(df_wine.columns[1:], rotation=90)\n",
    "\n",
    "plt.ylim([-1, 1])\n",
    "plt.tight_layout()\n",
    "plt.savefig('figures/05_05_02.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.3020184 ,  0.54408942, -0.05600938,  0.45540829, -0.33970111,\n",
       "       -0.8665386 , -0.9184327 ,  0.67279444, -0.67489496,  0.16623657,\n",
       "       -0.71769524, -0.81117245, -0.65291742])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loadings[:, 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sklearn_loadings = pca.components_.T * np.sqrt(pca.explained_variance_)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.bar(range(13), sklearn_loadings[:, 0], align='center')\n",
    "ax.set_ylabel('Loadings for PC 1')\n",
    "ax.set_xticks(range(13))\n",
    "ax.set_xticklabels(df_wine.columns[1:], rotation=90)\n",
    "\n",
    "plt.ylim([-1, 1])\n",
    "plt.tight_layout()\n",
    "plt.savefig('figures/05_05_03.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Supervised data compression via linear discriminant analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal component analysis versus linear discriminant analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 27,
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='figures/05_06.png', width=400) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The inner workings of linear discriminant analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing the scatter matrices"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the mean vectors for each class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MV 1: [ 0.9066 -0.3497  0.3201 -0.7189  0.5056  0.8807  0.9589 -0.5516  0.5416\n",
      "  0.2338  0.5897  0.6563  1.2075]\n",
      "\n",
      "MV 2: [-0.8749 -0.2848 -0.3735  0.3157 -0.3848 -0.0433  0.0635 -0.0946  0.0703\n",
      " -0.8286  0.3144  0.3608 -0.7253]\n",
      "\n",
      "MV 3: [ 0.1992  0.866   0.1682  0.4148 -0.0451 -1.0286 -1.2876  0.8287 -0.7795\n",
      "  0.9649 -1.209  -1.3622 -0.4013]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "np.set_printoptions(precision=4)\n",
    "\n",
    "mean_vecs = []\n",
    "for label in range(1, 4):\n",
    "    mean_vecs.append(np.mean(X_train_std[y_train == label], axis=0))\n",
    "    print(f'MV {label}: {mean_vecs[label - 1]}\\n')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the within-class scatter matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Within-class scatter matrix: 13x13\n"
     ]
    }
   ],
   "source": [
    "d = 13 # number of features\n",
    "S_W = np.zeros((d, d))\n",
    "for label, mv in zip(range(1, 4), mean_vecs):\n",
    "    class_scatter = np.zeros((d, d))  # scatter matrix for each class\n",
    "    for row in X_train_std[y_train == label]:\n",
    "        row, mv = row.reshape(d, 1), mv.reshape(d, 1)  # make column vectors\n",
    "        class_scatter += (row - mv).dot((row - mv).T)\n",
    "    S_W += class_scatter                          # sum class scatter matrices\n",
    "\n",
    "print('Within-class scatter matrix: '\n",
    "      f'{S_W.shape[0]}x{S_W.shape[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Better: covariance matrix since classes are not equally distributed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Class label distribution: [41 50 33]\n"
     ]
    }
   ],
   "source": [
    "print('Class label distribution:',  \n",
    "      np.bincount(y_train)[1:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Scaled within-class scatter matrix: 13x13\n"
     ]
    }
   ],
   "source": [
    "d = 13  # number of features\n",
    "S_W = np.zeros((d, d))\n",
    "for label, mv in zip(range(1, 4), mean_vecs):\n",
    "    class_scatter = np.cov(X_train_std[y_train == label].T)\n",
    "    S_W += class_scatter\n",
    "    \n",
    "print('Scaled within-class scatter matrix: '\n",
    "      f'{S_W.shape[0]}x{S_W.shape[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the between-class scatter matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Between-class scatter matrix: 13x13\n"
     ]
    }
   ],
   "source": [
    "mean_overall = np.mean(X_train_std, axis=0)\n",
    "mean_overall = mean_overall.reshape(d, 1)  # make column vector\n",
    "\n",
    "d = 13  # number of features\n",
    "S_B = np.zeros((d, d))\n",
    "\n",
    "for i, mean_vec in enumerate(mean_vecs):\n",
    "    n = X_train_std[y_train == i + 1, :].shape[0]\n",
    "    mean_vec = mean_vec.reshape(d, 1)  # make column vector\n",
    "    S_B += n * (mean_vec - mean_overall).dot((mean_vec - mean_overall).T)\n",
    "\n",
    "print('Between-class scatter matrix: '\n",
    "      f'{S_B.shape[0]}x{S_B.shape[1]}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selecting linear discriminants for the new feature subspace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Solve the generalized eigenvalue problem for the matrix $S_W^{-1}S_B$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "eigen_vals, eigen_vecs = np.linalg.eig(np.linalg.inv(S_W).dot(S_B))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**:\n",
    "    \n",
    "Above, I used the [`numpy.linalg.eig`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eig.html) function to decompose the symmetric covariance matrix into its eigenvalues and eigenvectors.\n",
    "    <pre>>>> eigen_vals, eigen_vecs = np.linalg.eig(cov_mat)</pre>\n",
    "    This is not really a \"mistake,\" but probably suboptimal. It would be better to use [`numpy.linalg.eigh`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.eigh.html) in such cases, which has been designed for [Hermetian matrices](https://en.wikipedia.org/wiki/Hermitian_matrix). The latter always returns real  eigenvalues; whereas the numerically less stable `np.linalg.eig` can decompose nonsymmetric square matrices, you may find that it returns complex eigenvalues in certain cases. (S.R.)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sort eigenvectors in descending order of the eigenvalues:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eigenvalues in descending order:\n",
      "\n",
      "349.6178089059941\n",
      "172.76152218979385\n",
      "2.842170943040401e-14\n",
      "2.564925776858485e-14\n",
      "2.4338020883285312e-14\n",
      "2.4338020883285312e-14\n",
      "2.0175057173967873e-14\n",
      "1.4666248938581886e-14\n",
      "1.4666248938581886e-14\n",
      "6.749911050291042e-15\n",
      "6.749911050291042e-15\n",
      "4.473806353827043e-15\n",
      "1.1725209460862484e-15\n"
     ]
    }
   ],
   "source": [
    "# Make a list of (eigenvalue, eigenvector) tuples\n",
    "eigen_pairs = [(np.abs(eigen_vals[i]), eigen_vecs[:, i])\n",
    "               for i in range(len(eigen_vals))]\n",
    "\n",
    "# Sort the (eigenvalue, eigenvector) tuples from high to low\n",
    "eigen_pairs = sorted(eigen_pairs, key=lambda k: k[0], reverse=True)\n",
    "\n",
    "# Visually confirm that the list is correctly sorted by decreasing eigenvalues\n",
    "\n",
    "print('Eigenvalues in descending order:\\n')\n",
    "for eigen_val in eigen_pairs:\n",
    "    print(eigen_val[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tot = sum(eigen_vals.real)\n",
    "discr = [(i / tot) for i in sorted(eigen_vals.real, reverse=True)]\n",
    "cum_discr = np.cumsum(discr)\n",
    "\n",
    "plt.bar(range(1, 14), discr, align='center',\n",
    "        label='Individual discriminability')\n",
    "plt.step(range(1, 14), cum_discr, where='mid',\n",
    "         label='Cumulative discriminability')\n",
    "plt.ylabel('Discriminability ratio')\n",
    "plt.xlabel('Linear discriminants')\n",
    "plt.ylim([-0.1, 1.1])\n",
    "plt.legend(loc='best')\n",
    "plt.tight_layout()\n",
    "#plt.savefig('figures/05_07.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Matrix W:\n",
      " [[-0.1481 -0.4092]\n",
      " [ 0.0908 -0.1577]\n",
      " [-0.0168 -0.3537]\n",
      " [ 0.1484  0.3223]\n",
      " [-0.0163 -0.0817]\n",
      " [ 0.1913  0.0842]\n",
      " [-0.7338  0.2823]\n",
      " [-0.075  -0.0102]\n",
      " [ 0.0018  0.0907]\n",
      " [ 0.294  -0.2152]\n",
      " [-0.0328  0.2747]\n",
      " [-0.3547 -0.0124]\n",
      " [-0.3915 -0.5958]]\n"
     ]
    }
   ],
   "source": [
    "w = np.hstack((eigen_pairs[0][1][:, np.newaxis].real,\n",
    "              eigen_pairs[1][1][:, np.newaxis].real))\n",
    "print('Matrix W:\\n', w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Projecting examples onto the new feature space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fkm9eiyTM7GJJ35E0RtI/OefuKfR8iiQApBEFEoUFVyRhZmMkrZJ0iaTZkq4ys9m+xoMi6LYAVIwCicr4TPH9iaTfOOd2OucGJP2zpL/0OB7kQ7cFoCoUSFRmrMfPnibpt1nf90r6n7lPMrPFkhZL0ox6qh5Lk0LdFliPAoqiEKIyPmdQFnFt1IKYc261c67DOdcxZcqUGgwLo9ARHIAHPgNUr6SPZn0/XdJeT2NBIY2wHwpAcHwGqM2STjezU81snKQrJa33OB7k0yj7oQAExVuAcs4dlXSbpJ9K2i7ph86513yNBwWwHwqABzSLBQB4Fdw+KADIZ+LEzGQ992viRN8jQy0RoAAE58CB8q6jPhGgAABBIkABAIJEgALgBetMKCZvgDKziWb2TTN7zMyuznnsgeSHBqCesc6EYgrNoNYq047oKUlXmtlTZnbCscfOSXxkABpWa2t511GfCgWoWc65rzrnfuSc+4ykrZKeN7NJNRobgAaVPYtqbc000XdO2r/f35hQe4W6mZ9gZk3OZQ4xcc6tMLNeSZskTajJ6AA0PFJ+javQDOpfJF2UfcE594ikOyQNRL4CAICY5J1BOefuzHP9J5JOT2xEABpCayuzIxTm88BCAA0sdz3Jok6IQ0NjHxQAIEgEKABBoLQcuQqm+I6VlF8t6ePHLm2X9Lhzrj/pgQFoLJSQI1ehThJnSNom6SxJOyS9KelsSa+a2cfzvQ4AgDgUmkEtl7TEOffD7ItmtlDSCkkLkxwYAKCxFVqDmpcbnCTJOfeUpLnJDQkAgMIB6v0KHwMAoGqFUnxTzWxpxHWTNCWh8QAAIKlwgPqepHwFnv+UwFgAoGoTJ0Z3qGhtpVIwbQq1OvrbfI+Z2e2JjAYAqsQ5U/Wj0o26Uak/AABiU2mAomsW0CA4mh2+VBqgXKyjABpMmm76pMzgS941KDM7oOhAZJJOTGxEQIpUuiDPTR8orlCRBC0agSIINOHJd84UTWfTh/OggDLlmzUhDJSS1w+O2wDKRHACaoMABaAgzmmCL6T4AA/StE5Cygy+EKCABBQLNNz0geJI8QEJOHCgtH1NadoPBdQaAQooUzlpuGIFFZSpA/mR4gPKFJWeM5p/AbHzMoMysyvM7DUzGzKzDh9jAEJXSbqvkpQhaUaEyleKb5ukz0na5OnzkXKNdFMtJ91XScqQNCNC5SXF55zbLklGXgQV4qYK1L/giyTMbLGZdZtZ9759+3wPB4hU6mbW3JlfnOpx9ojGltgMysw2Sjol4qFlzrlnS30f59xqSaslqaOjg2M+EKRS9zVVO8Mr1D2d2SPqTWIByjn3yaTeG2hUpDbRSIJP8QGNIumed/mKSOi1h1D5KjO/3Mx6Jf2ppOfM7Kc+xoH0qseb6v79knOjv+JsixQ106rF5wKV8FXF94ykZ3x8NsJW6gm13DyB+keKD0Gp9zWWJGd+aZ49AlFodQTUULUzv0LHdGS/N1sMUQ8IUECKkNpEIyHFh9RIop1RvbZMqsciEjQeZlBInTjXo+p1zYuZFuoBMygEhf/DT5d6nYEiDAQoBCV7T069q4ebe73OQBEGAhTgCTd3oDACFJBHmmYyQD0iQCFYtahEK/ReUTOZekjLAWlBFR+CVYtKtP37y9vUWigtZzZ6wyyAyjGDAmLUaOtH7LdCkphBAZ4UaluUFswWkSQCFOAJN3egMFJ8aHikqYAwEaDQ8HIP7BsOTMOFD9mVeqUGLar9gOoRoIAchSr1hoNZsVkXm3CB6rEGBVSA9SMgecygAABBIkABnrFeBUQjQAGesV4FRCNAATniKDundB2oHkUSQI58BRDDqbhcUf33KKIAqscMCihRqKk41rBQrwhQQA1UGkRKCTLFOqwTqJBWBKg6w/9Nh6lQECn3TKq4PjtXtX87/O0hbgSoOhNqGgr5hbJeVe3fDn97iBsBCgAQJAIUghdK6ojScaC2KDNH8EJJHYWSisuV7+BDIO2YQQE1UGiWFbW3qpTXDSu1wzqQNgSoOsNNqnbKST0OB5FCss+kGv4qZ9aWe65Vue9R7d8Of3uIGym+OhNqGqoehZJ6jEu1fzv87SFuzKAAAEEiQCF4jZo6KieFWItKx1CqKdE4vKT4zOxeSf9L0oCktyRd55x7z8dYEL5GTR2Vk0KsRbqx3lKaSTly5Ih6e3t1+PBh30MJTktLi6ZPn67m5uaSnu9rDWqDpLucc0fN7FuS7pL0157GAtRMvpLwep8NNpLe3l61traqra1NVqhEs8E459Tf36/e3l6deuqpJb3GS4rPOfcz59zRY9/+u6TpPsYBVKOS1GO1lXYI3+HDhzVp0iSCUw4z06RJk8qaWYZQxXe9pB/ke9DMFktaLEkzZsyo1ZiAonwGlex7H7Ov8BCcopX7e0ksQJnZRkmnRDy0zDn37LHnLJN0VFJXvvdxzq2WtFqSOjo6iuwkARoPa0CoV4ml+Jxzn3TOzY34Gg5OX5T0F5IWOVdsCyPQeEI7Yr5RqynT6J133tGVV16pWbNmafbs2br00ku1Y8cO7dq1S3Pnzk3kMzdt2qQzzzxTY8eO1ZNPPhnLe3pZgzKzi5UpiviMc+6QjzEAockt4x6eGbW2Fu9CEbW2NVyQEVdZOOtnCenqktrapKamzD+78iaUSuKc0+WXX64LLrhAb731ll5//XV94xvf0O9+97tYhpvPjBkz9PDDD+vqq6+O7T197YO6X1KrpA1m1mNmD3oaBxCMuMu4fZWFs1+qDF1d0uLF0u7dmWi/e3fm+yqC1AsvvKDm5mbdcsstx6+1t7frvPPOG/G8Xbt26bzzztOZZ56pM888U7/61a8kSX19fTr//PPV3t6uuXPn6he/+IUGBwd17bXXau7cuZo3b57uu+++UZ/b1tam+fPnq6kpvrDipUjCOffHPj4XQPLYL1WGZcukQzlJpEOHMtcXLaroLbdt26azzjqr6POmTp2qDRs2qKWlRW+++aauuuoqdXd36/vf/74+/elPa9myZRocHNShQ4fU09OjPXv2aNu2bZKk9957r6KxlSuEKj4AJWAPVR16++3yrsfoyJEjuu2229TT06MxY8Zox44dkqSzzz5b119/vY4cOaLPfvazam9v12mnnaadO3fqy1/+si677DJ96lOfSnx8Eq2OgNRgDagO5ds6U8WWmjlz5mjLli1Fn3fffffpQx/6kF5++WV1d3drYGBAknT++edr06ZNmjZtmq655ho9+uijOvnkk/Xyyy/rggsu0KpVq3TjjTdWPL5yEKAAwJcVK6Tx40deGz8+c71CF110kf7whz/oe9/73vFrmzdv1osvvjjieb///e/14Q9/WE1NTXrsscc0ODgoSdq9e7emTp2qm266STfccIO2bt2qd999V0NDQ1q4cKGWL1+urVu3Vjy+chCggEDEXcZNWXgKLFokrV4tzZyZqSSZOTPzfYXrT1JmM+wzzzyjDRs2aNasWZozZ47uvvtufeQjHxnxvM7OTj3yyCM655xztGPHDp100kmSpJ///Odqb2/XggUL9NRTT2nJkiXas2ePLrjgArW3t+vaa6/VN7/5zVGfu3nzZk2fPl1PPPGEbr75Zs2ZM6fin+H4z5KmLUgdHR2uu7vb9zAAFDBxYv61skZIR27fvl1nnHGG72EEK+r3Y2ZbnHMduc+lSAJArBohCKE2SPEBAIJEgEJDYRMpkB4EKDQUNpEC6UGAAgAEiQAFAAgSAQoA6oyP4zZWrlyp2bNna/78+frEJz6h3bt3V/2eBCgA8CSJoh1fx20sWLBA3d3deuWVV/T5z39ed955Z9XvSYBCQ6G7AkKSRNGOr+M2LrzwQo0/1rbpnHPOUW9vb+U/xDFs1EVDYRMp6l0Ix22sWbNGl1xySdU/CwEKABpQUsdtrFu3Tt3d3aOa01aCFB8A1BGfx21s3LhRK1as0Pr163XCCSdU/bMQoACgjvg6buOll17SzTffrPXr12vq1Kmx/Cyk+ADAkyROSR4+buP222/XPffco5aWFrW1tenb3/72iOd1dnZq4cKFeuKJJ3ThhReOOG7j3nvvVXNzsyZMmKBHH31Ue/bs0XXXXaehoSFJijxu4ytf+YoOHjyoK664QpI0Y8YMrV+/vvIfRBy3AQCx4riNwso5boMUHwAgSAQoAECQCFAAgCARoAAAQSJAAQCCRIACAASJAAUAdcbHcRsPPvig5s2bp/b2dp177rl6/fXXq35PAhQAeNZ3oE+zvjtL7xx8p+r38nXcxtVXX61XX31VPT09uvPOO7V06dKq35MABQCeLd+0XLve26XlLy6v+r18HbcxMesQq/fff19mVvXPQqsjAPCo70Cf1vas1ZAb0tqetfran39Np0w4peL383ncxqpVq7Ry5UoNDAzo+eefr/hnGMYMCvAgiZNUkU7LNy3XkMv0uBt0g7HMokpx5MgR3XTTTZo3b56uuOKK42tGZ599ttauXau7775br776qlpbW0cct/GTn/xkxGwp25e+9CW99dZb+ta3vqWvf/3rVY+RAAV4kMRJqkif4dnTwGDmqIuBwQGt7Vlb1VqUz+M2hl155ZX60Y9+VPHPMIwABQCeZM+ehlU7i/J13Mabb755/N+fe+45nX766RX/DMNYgwIAT9a/sf747GnYwOCAnn3jWa26bFVF7+nruI37779fGzduVHNzs04++WQ98sgjFY1/xM/CcRtA7RUqcErRf5KIwHEbhQV/3IaZLTezV8ysx8x+ZmYf8TEOAEC4fK1B3eucm++ca5f0Y0n/29M4AC/ynZhazUmqQL3xsgblnNuf9e1JkkhqoKHs31/8OUgv51wsG1XrTblLSt6q+MxshZn9VtIiFZhBmdliM+s2s+59+/bVboAAUIGWlhb19/eXfTOud8459ff3q6WlpeTXJFYkYWYbJUVth17mnHs263l3SWpxzv1NsfekSAJA6I4cOaLe3l4dPnzY91CC09LSounTp6u5uXnE9XxFEoml+Jxznyzxqd+X9JykogEKAELX3NysU0891fcw6oKvKr7sHVyfkfRrH+MAAITL10bde8zsY5KGJO2WdEuR5wMAGoyvKr6FPj4XAJAeqeokYWb7lJlxhWiypHd9DyJw/I5Kw++pNPyeSpOG39NM59yU3IupClAhM7PuqCoUfIDfUWn4PZWG31Np0vx7ops5ACBIBCgAQJAIUPFZ7XsAKcDvqDT8nkrD76k0qf09sQYFAAgSMygAQJAIUACAIBGgYmJm95rZr48dxPiMmf0P32MKkZldYWavmdmQmaWy9DVJZnaxmb1hZr8xs6/6Hk+IzOwhM/tPM9vmeywhM7OPmtkLZrb92H9zS3yPqVwEqPhskDTXOTdf0g5Jd3keT6i2SfqcpE2+BxIaMxsjaZWkSyTNlnSVmc32O6ogPSzpYt+DSIGjku5wzp0h6RxJX0rb3xMBKibOuZ85544e+/bfJU33OZ5QOee2O+fe8D2OQP2JpN8453Y65wYk/bOkv/Q8puA45zZJ+i/f4widc67PObf12L8fkLRd0jS/oyoPASoZ10v6v74HgdSZJum3Wd/3KmU3FITJzNokLZD0H56HUhZf3cxTqZRDGM1smTJT665aji0kpR5WiVGizghnHwiqYmYTJD0l6Xbn3H7f4ykHAaoMxQ5hNLMvSvoLSZ9wDbzBrIzDKjFSr6SPZn0/XdJeT2NBHTCzZmWCU5dz7mnf4ykXKb6YmNnFkv5a0mecc4d8jweptFnS6WZ2qpmNk3SlpPWex4SUMjOTtEbSdufcSt/jqQQBKj73S2qVtMHMeszsQd8DCpGZXW5mvZL+VNJzZvZT32MKxbEim9sk/VSZBe0fOude8zuq8JjZ45L+TdLHzKzXzG7wPaZA/ZmkayRddOye1GNml/oeVDlodQQACBIzKABAkAhQAIAgEaAAAEEiQAEAgkSAAgAEiQAF1JCZHYy4dreZ7TlWBvymmT2dr6kn3eDRSAhQQBjuc861O+dOl/QDSc+b2ZSI59ENHg2DAAUExjn3A0k/k3R1xGN0g0fDIEABYdoq6eO+BwH4RIACwhTV2RxoKAQoIEwLlOnHBzQsAhQQGDNbKOlTkh73PRbAJ5rFAjVkZkMaecbTSkkTJd0kaZ+kk5Sp1FvmnHs94vWXS/p7SVMkvSepxzn36YSHDXhBgAIABIkUHwAgSAQoAECQCFAAgCARoAAAQSJAAQCCRIACAASJAAUACNL/B37rcGqDZq2iAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_train_lda = X_train_std.dot(w)\n",
    "colors = ['r', 'b', 'g']\n",
    "markers = ['o', 's', '^']\n",
    "\n",
    "for l, c, m in zip(np.unique(y_train), colors, markers):\n",
    "    plt.scatter(X_train_lda[y_train == l, 0],\n",
    "                X_train_lda[y_train == l, 1] * (-1),\n",
    "                c=c, label=f'Class {l}', marker=m)\n",
    "\n",
    "plt.xlabel('LD 1')\n",
    "plt.ylabel('LD 2')\n",
    "plt.legend(loc='lower right')\n",
    "plt.tight_layout()\n",
    "plt.savefig('figures/05_08.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LDA via scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as LDA\n",
    "\n",
    "lda = LDA(n_components=2)\n",
    "X_train_lda = lda.fit_transform(X_train_std, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "lr = LogisticRegression(multi_class='ovr', random_state=1, solver='lbfgs')\n",
    "lr = lr.fit(X_train_lda, y_train)\n",
    "\n",
    "plot_decision_regions(X_train_lda, y_train, classifier=lr)\n",
    "plt.xlabel('LD 1')\n",
    "plt.ylabel('LD 2')\n",
    "plt.legend(loc='lower left')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_09.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_test_lda = lda.transform(X_test_std)\n",
    "\n",
    "plot_decision_regions(X_test_lda, y_test, classifier=lr)\n",
    "plt.xlabel('LD 1')\n",
    "plt.ylabel('LD 2')\n",
    "plt.legend(loc='lower left')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('figures/05_10.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonlinear dimensionality reduction techniques"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6CAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBASVugYIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQygWkUCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECAgqdQ0QIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAjIVOoaIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQSIJKXQQECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKCSl0DBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECmcA0CgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQElboGCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEZCp1DRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCRBpS4CAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABQaWuAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUxgGgUCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECgkpdAwQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAjKVugYIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgSSoFIXAQECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAgKBS1wABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAmMI0CAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAUGlrgECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAGZSl0DBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECSVCpi4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQEBQqWuAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEAgE5hGgQABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgICgUtcAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQICATKWuAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgSSo1EVQvcAJJ5xQfaNaJECAAAECBAgQIECAAAECBAgQIECAAIGREbjtttvSz372s5Hpr44SIECAAAECBAgQIECAAAECBAj8n8ActWyCQaAqgauvvjqtscYa6YYbbkgrrrhiVc1qhwABAgQIECBAgAABAgQIECBAgAABAgRGSGC77bZLt99+e7roootGqNe6SoAAAQIECBAgQIAAAQIECBAgMA0BgSoF/vd//zc9/fTTad99962yWW0RIECAAAECBAgQIECAAAECBAgQIECAwIgIRJbSk046KV188cVp5syZI9Jr3SRAgAABAgQIECBAgAABAgQIEAgBQaWug8oEIkvpueeeW2/vjDPOSDfddFNlbWuIAAECBAgQIECAAAECBAgQIECAAAECBEZD4HOf+1x66qmn6p2NRAQmAgQIECBAgAABAgQIECBAgACB0REQVDo652roezpxcFC20qE/XTpIgAABAgQIECBAgAABAgQIECBAgACBygXyLKV5w7KV5hJeCRAgQIAAAQIECBAgQIAAAQKjISCodDTO09D3cmKW0ryzspXmEl4JECBAgAABAgQIECBAgAABAgQIECAwNQQmZinNj3hiQoJ8nlcCBAgQIECAAAECBAgQIECAAIHhFBBUOpznZeR61WhQULbSkTuNOkyAAAECBAgQIECAAAECBAgQIECAAIGOBSZnKc0bkq00l/BKgAABAgQIECBAgAABAgQIEBh+AUGlw3+Ohr6Hv/zlL9O5557bsJ+ylTZkMZMAAQIECBAgQIAAAQIECBAgQIAAAQJjJ9AoS2l+kI0SE+TLvBIgQIAAAQIECBAgQIAAAQIECAyPgKDS4TkXI9uTz372s4V9l620kMYCAgQIECBAgAABAgQIECBAgAABAgQIjI1AUZbS/ABlK80lvBIgQIAAAQIECBAgQIAAAQIEhltAUOlwn5+h711ZltK887KV5hJeCRAgQIAAAQIECBAgQIAAAQIECBAgMJ4CZVlK8yOWrTSX8EqAAAECBAgQIECAAAECBAgQGF4BQaXDe25GomdlWUrzA5CtNJfwSoAAAQIECBAgQIAAAQIECBAgQIAAgfETaJalND9i2UpzCa8ECBAgQIAAAQIECBAgQIAAgeEVEFQ6vOdm6HvWSpbS/CBkK80lvBIgQIAAAQIECBAgQIAAAQIECBAgQGC8BFrJUpofsWyluYRXAgQIECBAgAABAgQIECBAgMBwCggqHc7zMhK9aiVLaX4gspXmEl4JECBAgAABAgQIECBAgAABAgQIECAwPgKtZinNj1i20lzCKwECBAgQIECAAAECBAgQIEBgOAUElQ7neRn6XrWTpTQ/GNlKcwmvBAgQIECAAAECBAgQIECAAAECBAgQGA+BdrKU5kcsW2ku4ZUAAQIECBAgQIAAAQIECBAgMHwCgkqH75yMRI/ayVKaH5BspbmEVwIECBAgQIAAAQIECBAgQIAAAQIECIy+QGQpPfnkk9s+ENlK2yazAQECBAgQIECAAAECBAgQIECgbwJz1LKpb3uzo7EQiCylq622WkfHMm3atHTDDTekFVdcsaPtbUSAAIGpJnD99denP//5zw0Pe9FFF02rr756w2X9nPnII4+kmTNnNtzl4osv3vG/GQ0bNJMAAQJtCDz00EPpiiuuaLjFC1/4wrTKKqs0XNbvmXfffXe67rrrGu52ueWWSy972csaLjOTAAECBAgQIECAwKAFtt9++3Tsscd21I03velN6aKLLupoWxsRIECAAAECBAgQIECAAAECBAj0TkBQae9sx7blt73tbekHP/hBx8e35ZZbplNPPbXj7W1IgACBqSTwmte8Jl177bUNDzkCou66666Gy/o586yzzkqbbbZZw10uu+yyKbKWmAgQIDAIgWOOOSbtsMMODXe96qqrpquvvrrhsn7PjNKf++67b8Pdbrrppunss89uuMxMAgQIECBAgAABAoMUiL/34wGoJ598suNuXHrppWn69Okdb29DAgQIECBAgAABAgQIECBAgACB6gXmqr5JLY6zQGQp7SagNGxOP/30tM8++8hWOs4XimMjQIAAAQIECBAgQIAAAQIECBAgQGCsBT7/+c93FVAaOPGAlWylY32ZODgCQyHwxz/+Mf3mN78p7MvLX/7ytPTSSxcur3JBFJCM+15RQP4b3/jGNP/881e5S201EaiigoxqXk2QLSZAYGACo1DNq4r78MCA7ZgAAQJjLCCodIxPbi8OLQb5up2efvrptN9++8lW2i2k7QkQIECAAAECBAgQIECAAAECBAgQIDAAgchSetJJJ3W954svvjjNnDlTttKuJTVAgECZwEEHHZSOPPLIwlVe/epXpyuvvDLNPffchetUtSACZ9Zff/3C5qJaSVQtMfVP4Kijjuq6gsyFF16omlf/Tpk9ESDQhsCZZ5459NW8qrgPt0FiVQIECBBoUWBai+tZjUCqIktpzhjZSm+66ab8rVcCBAgQIECAAAECBAgQIECAAAECBAgQGBGBKrKU5odaRSKDvC2vBAgQ6ETg2muvTQcccEAnm7a9zRxzzNH2NjYgQIAAAQIECBAgQIBAvwUElfZbfIT3V+XgXp6tdIQ5dJ0AAQIECBAgQIAAAQIECBAgQIAAAQJTTqCqLKU5XJ6tNH/vlQABAoMQiGD566+/fhC7tk8CBAgQIECAAAECBAgMnYCg0qE7JcPZoSqzlOZHKFtpLuGVAAECBAgQIECAAAECBAgQIECAAAECoyFQZZbS/IirTGiQt+mVAAEC7Qg8+eSTaeutt07xaiJAgAABAgQIECBAgMBUFxBUOtWvgBaPvxeDerKVtohvNQIECBAgQIAAAQIECBAgQIAAAQIECAyBwO23355OOumkynsiW2nlpBokQKADgchUGoHzJgIECBAgQIAAAQIECEx1AUGlU/0KaOH4e5GlNN+tbKW5hFcCBAiMrsBiiy2WllxyyYY/yy+//OgemJ4TIECAAAECBAgQIECAAAECswh87nOf61kWv14kNpil894QIECgBYEDDjggXXvttS2saRUCBAgQIECAAAECBAiMr8Bc43tojqwqgV4O5uXZSk899dSquqsdAgQIEOizwPTp09Odd97Z573aHQECBAgQIECAAAECBAgQINBPgV5lKc2PIc9WGuMMJgIECAxK4Mknn0wzZsxIV199dZp77rkH1Q37JUCAAAECBAgQIECAwEAFZCodKP/w77yXWUrzo5etNJfwSoAAAQIECBAgQIAAAQIECBAgQIAAgeEU6GWW0vyIe5ngIN+HVwIECDQT+NWvfpX233//ZqtZTuAZAdW8nqHwCwECBAgQIECAwJgICCodkxPZq8PoxyBenq20V8egXQIECBAgQIAAAQIECBAgQIAAAQIECBDoXKDXWUrznuXZSvP3XgkQIDAogQMPPDBdc801g9q9/Y6YQF7NKyp6Tf758Y9/PGJHo7sECBAgQIAAAQIEUhJU6iooFOhHltJ857KV5hJeCRAgQIAAAQIECBAgQIAAAQIECBAgMFwC/chSmh9xPxId5PvySoAAgSKBp556Ks2YMSM98cQTRauYT4AAAQIECBAgQIAAgbEVEFQ6tqe2+wPr5+CdbKXdny8tECBAgAABAgQIECBAgAABAgQIECBAoGqBfmUpzfstW2ku4ZUAgUEL/PrXv0777bffoLth/wQIECBAgAABAgQIEOi7wFx936MdjoRAP7OU5iCRrXSfffZJK664Yj7LKwECBAgQaCoQWQPuueeedNddd9V//vGPf6TFFlssLbHEEs/8NG2kByvEAxP33Xdfuvfee+uv999/f5pzzjnT8573vPT85z+//rPooov2YM/tNfnPf/4zPfDAA+kvf/lLevDBB+uvYbjAAgukhRdeOC200EL11/B81rOe1V7jFa795JNPpltvvTX97ne/S4888khafvnl0worrJCe+9znVriX3jUV1+ndd9/9zHUa7ssss0z9OMJ2jjnm6N3Om7TcD9vI6vGnP/2pfq3F9fbQQw+leeedt/55iM9E/CyyyCJNetq/xXG+8ntKvEb/4zwtueSS6YUvfGFacMEF+9eZHuxpVO5PEw/9scceq19DcR3FPT8++0svvXT9J+753UzxeYx2//jHP9bbjmsz7s9xXcZ9Ju7dJgIECBAgQIDAVBboZ5bS3DkSHlx00UX5W68ECBAYmMBBBx2U3vnOd6ZVV111YH2wYwIECBAgQIAAAQIECPRbQFBpv8VHZH/9zFKak+TZSk899dR8llcCBAgQGAGBO++8Mx1//PENexoBWNtuu23DZRNn3nbbbemUU06ZOKv++7Rp09LHPvaxeoDjxIV///vf05lnnlnf5pJLLkn/+te/Ji6e5fcI3Hv7299e/1l33XV7GhwUgaPnn39+Ovfcc9OPfvSj9Ne//nWWvkx+81//9V9p4403TptssklaZ511+hK0GcF8M2fOTOH2k5/8JP3qV79K8W9wsykCSldfffW09tpr1/salnF+Op1+85vf1M/h5O3nnnvutMsuu6R55pmnvigCXL/+9a+nL3zhC/Vgr8nrv+AFL0jvfe970yc+8Ym01FJLTV5c+fuiazV29OEPf7ge0JzvNK7LCy+8MJ1wwgnp7LPPTo8//ni+aJbX+eabLy233HJp+vTpadddd60Hms6yQptvhsU2+hHHHdfZ5ZdfnuJclk0vfvGL00YbbZQ23HDDFNdXBPb1c6rVaumnP/1p+ta3vlW/NiPQumh6+ctfnt71rnfVf1ZeeeWi1YZq/jDcn4o+PxG0GZ/hyec8gvLj35fjjjsu3XLLLYWe8RnadNNN00c/+tG05pprFq43ccHf/va3+r8hRx99dIrMM3H+G00RQPyGN7whvf/9709bbLFFV/e9Ru2bR4AAAQIECBAYdoF+ZynNPfJspfF3kokAAQKDFIgHT2fMmJEiGUs+XjXI/tg3AQIECBAgQIAAAQIE+iEwR/blWeNvz/qxd/sYSoH4w3i11VYbSN8iOOWGG26QrXQg+nZKgMAwCrzmNa9J1157bcOuRba8yKA36Omss85Km222WcNuLLvssimCiJpN3/zmN+sBO43Wi6DHV7ziFfVFEZS39957pyOOOCJF1rp2p2jnS1/6UlpvvfXa3bR0/QjWilJYRx11VIqsj51MEYC7//77p6233ronQUuR5fPzn/98Ovnkk1MMhnc7RWbxT3/602nLLbfsKFD3K1/5Stp5550bdiOu67i+I+hr/fXXT1dddVXD9SbOjGDUCPo64IAD6hklJy6r8veyazUCdSPoNqYrr7wyve9976tnV21n/xFcF8GKe+yxR3r1q1/dzqbPrDto20svvTQdfPDB6bzzzisM1HumswW/RIbIz3zmM2nHHXfs6gubY445Ju2www4N9xIZRq6++ur6ssiAu91226XLLrus4bplM9daa636PelVr3pV2Wqly+KBrn333bfhOhEsGcG5nU7DdH8q+/z8/ve/fyagOgJ644GC0047re17apzXb3zjG4Wfn8g6+6lPfSodeeSRTQOdJ5u/9KUvrW/3pje9afIi7wkQIECAAAECYysQ/5+O/1cPYor/d8lWOgh5+yQwfgIf+chH6n/PNTqyeHB0lVVWSfE3a9m011571cedytZpZVlUsolxr6IpxgBiLKDqadSqyMTxxxhmPypU9XJcpurzWNRev6yK9l80f1Sq5ajmVXQGq5sf1+iwVvKKoxznal6tjpFPPttxzvpVzWsQ9+FRuT9NPC+qeU3U8DsBAv0QmKsfO7GP0RIo+kK7H0cR/3hHQE1kiDIRIECAAIGJApFJLoIGI8i00ynaiCDFd7/73fXgym7Luce/WxE8d+CBB6aHH364027Vt4s/ziOr62GHHVbPzNlqtr1mO42B1z333LOeka8so2uzdiYvv+mmm+rnI4J0v//975cOhk/etpX3EVD6lre8paWA0mgvBn0io2F84Rllygc1xfNakVU1AiI7CTCOcxSBdPET10MEKs81V7X/Ze+VbZS1j8DM733ve13z33ffffWg47i+4ifKzPVq+vKXv1z/jMTgcSfTz372s3oJvJ122ql+L4jMlsMwjcL9qZFTBPZutdVW6Y477mi0uOm8eEBunSzz8znnnFN/nbhBPOTwnve855lg4onLWvk9go/jvnTooYfWs6K2so11CBAgQIAAAQKjLBBZSk888cSBHYJspQOjt2MCU07g8MMPrwexxzha0RRjgDE+8drXvrZolaGbPwxVZIqqloxahapmJ1c1r/8IDUO1nP/0pvFvqnk1dmllbtFnOrYdlkpe0RfVvEKh/Sm+31DN6z9uvag2WPQZUs3rP+5+I0BgiAQiU6mJQC6QZWuKzLUD/cn+kKxl/9HLu+SVAAECU1ogy1RYeE/OnmgfCpvvfve7hX3MMpW21MdTTjmlsI0siLT2wx/+sJYFgBau08m/XVnZ+VqW+bSl/jVa6dFHH6294x3vqLRP+XHEsX77299utNu25mXlomvZH7096WPe13jNys7Xbrzxxrb6lg3WF/YrC7CtZSXtC5dP3PfE3+NYs0C6tvrR7spl12qWqbS2yy67tN3viccw+fe3ve1ttezp07a6OQjbCy64oPaCF7yg0mOfaJE99NSWQb5ylrGysE9ZRstaFhBeuHzi/lv9Pcv2X8uybOa7b/n1s5/9bGE/suwkLbeTrzis96eyz0+WqbSWlaKvZYNnhRatnodYL+6jcV3mUzYYWltooYUqaTvaP+OMM/KmvRIgQIAAAQIExlZg++23r+z/T+38X27iulm20rH1dWAECPRPIAt0KryfZZlK6x3JMoQWrpPfl1ZaaaVa9lBqVx3/85//XLqf6Ee3U/wNHGOfc8wxR+m+8uNq9JpVkanFGFM346dxHGVjATHum0/huvvuu9fmnXfejvqcVaiqXXjhhXlzbb1WMS7TjzHy/KAGaZX3odFr9pB47X/+539qWUWpjs5hXIdZNa/acccdV8sevG+0i67nxfjTNttsU8se4u+4jxM/L1k1r/o1nmV07KhvzcZxo9G//vWvtSyYvaX+hn0cX5YRtKP+tLJR2Wc6xsfz6Yorrqgtv/zyLfV7ommMDW6xxRa1a665Jm+qo9dB2w7TfbjZGHkOfPPNN9fe8IY3tH3O4vxl1bxqWdXFvKm2X6u4D5ftdJjuT2WfobhH5dODDz5YyxLtdHRPje8+yj5D8W/7rrvuWptvvvnaPt9ZNa9aVk0i76ZXAgTGXGBadpM3EXhGYJBZSvNO5NlK8/deCRAgQGBqC9xwww0pG0RI2R85lUKce+656ROf+ERHbUYWxSjD101J6rIdx7FmQZX1jJdl65Utu+6661I2AJDiqcdeT/EkfpR6ryoTahZEnE499dS2u/2BD3wgZYPlbW9X1QZRdj6yalY5RRbYDTbYoOtMuHmfemEbmUk32mijevmifD9Vv2aDSvXslVXeByKjZZSuq3LKHtBK6623Xory7YOaRuH+1Mjmxz/+cYpyhFXdR+Ja+e///u96qbxbb721nk0mG4RvtOuO5mUBFh1nU+1ohzYiQIAAAQIECPRZYNBZSvPDzbOV5u+9EiBAoFcCUXI+qiSVTZH5Lkr0DusUVWTiONZee+0UY5/Zd9wddzXGF3beeef0spe9LJ111lkdt9PKhlFdavXVV6+PhUZp306mvEJVVCipcvyok770cpthtIrvdf/f//t/6cUvfnE64ogjOqrelJvl1byyZBvp5z//eT6769fIQjxjxoz69RzVrqKsdxVTXs0rrt8sYLyKJmdpo9OKU/34TmCWjk54E/edyOw8ffr0FGNy7U55Ja/XvOY19apYVZ2ryf3ole2o3oejmtcqq6ySoopUJ1NezSvGY7ut6tfJ/ou2GYX7U6O+x3l41ateVa9A2ElFvLyaVxboPVvzcX/IgoDTIYcckv7xj3/MtrzZjLyaV3wfZiJAYPwFBJWO/zlu+QjjH5cIXBiGKUq+xn/ETQQIECBAIMog9+qP0Cgt3u6/NzEoueGGG6Yrr7yy5ZOTPWFfL48dgagrr7xyyjLoNd02Bl8++clPppNOOqnpupNXiDLem222Wbr33nsnL2r4PgIxs+wD9T9SIxA1e4I4ZU81N1y3aGYEscagYRVTlMnpZNp666072ayybc4888zStl73utelj33sY/US6XvuuWd6+9vfnuaZZ57SbWLhpZdemjbZZJOuvgjId1K1bfbEedpyyy1bDgScf/75U5bVI73xjW9MWVbPlGU3zbvW9DUCjSPosF9T9DUGLyOod4011kgLL7xwS7vOngBO73rXuyo5Xy3tcMJKo3B/mtDdWX7daaedKhvQzxvOsjWnL37xiynL+Ft5oG8MPB966KH5rrwSIECAAAECBMZO4POf/3xXQSFVggxzAFeVx6ktAgQGLxBBNc3GKr7whS+kX/ziF4Pv7KQeZFk60ytf+coUD/9WOcVDBjHOuN9++1XZ7DNtnX/++SnLwpiyrKXPzOvml6yySNp8883TE0880U0zQ7ntMFpFQFJ4x4PbVY7hx/Ww7rrrpvi+uNspy/yXXv/616cTTzyx5THMdvcZ44ExfhiB51VOMZbb7v0mynXHOPSgpt122y3tsccelfw/MstaW7//xPcdVU+9sB3V+3AEhX/84x9P3TpHAOfXvva19OY3vzk99NBDVZ+yttsbhftTo4PKMsumddZZp+uEBnFPju8y47rMp/iuKb7ziOQY3UwR/B0PnnznO9/pphnbEiAwAgKCSkfgJPWri8OQpTQ/VtlKcwmvBAgQIFAksMACC9Sz0GXlktPll1+eIgNdBPnEgNNhhx2WshIMRZs+Mz/+8IkMiO1MMSiSlfFoukkEzGUl7NNvf/vb9Pe//73+R1pWEiJF5tV40j8rcVEfzGrWUATRZWVHmq02y/IY3G72NPKzn/3s+pO+MeAVg6wRgBrHNXPmzBQDbTGA8Kc//Sn94Ac/SGuuueYs7Re9OfLII4sWtTW/kycvIxh2ueWWa2s//Vo5Bt5jQDGero9rMwJKs7Lr6ZxzzknxlPz+++/fNNA4zktcM91OVdrGE6kR7Nosg0QELUdweGTIiAyeN954Y8rK/6Srrrqq/gR/BHaHQQQ2N5tiIPHYY49ttlpXy7PSMOlb3/pWuv/++1M8dBUD9hE8G5/bOIbIRNps+slPfpKir/2eRuH+1K5JDIRHBuAI5I8n/eM+H0++x0MBWYnCps3FlxpFDw/EAPvnPve5+oN1f/zjH+v3vbiu40vEyK7RbIpz/MgjjzRbzXICBAgQIECAwMgJDEuW0hxOttJcwisBAr0WWGSRRdLXv/710t3EeGJkPBymbJijWkVmGCtUlZ78AS4cRqtRqJajmld/L9pRqOQVIqp5/ee6UM3rPxbt/Bb/B+i22mCj/anm1UjFPAIEBiqQZcEyEahlTyNEDYyh+pk2bVotC8BwdggQIDClBbIyL4X35he+8IVDYfPd7363sI/LLrtsS33MguUK22j071OWGbGWlcIpbTt7QKGWDWLU5pprrtK255tvvlr2xGJpW/nCsmPN+5llIa1lT3bWsrIs+WaFr9HHLECuttBCC5X2MSs7UsuCPAvbmbggCwStxTHl/Wn0uvHGG9ey4KyJmzX9/eyzz66tuOKKpe3GvrIBzqZtxQqHH35407Ym9v2tb31rLSu1Vf+/QRY4XMuygta22267WnjHesccc0xL++12pXau1Sxwt3byySe3tMss0LKWBbGVmmSZMmpZgHLT9vplm2XeLe1vnJesREstCwZs2udYIXt6uZaVx2naZrhmA8IttZk91du0vfw6i3tFq5/dE044oZZlMi1tOz7Xd999d0v9zILbC9vKyta11MYo3J/a+fw85znPqWXBvaX30kcffbT2vve9r9AuP7eTX+MemQV41+IeXDTFPTzLntq07SzwvqgJ8wkQIECAAAECIyuw/fbbN/1/0OT/Y/X6ffz9YSJAgECnAllGusL7WvbA4mzNfuADHyhcP7/fZRWGZtuulRlZiezStmMMrp0pe4i5llVJKm0z73O8xnhGVkWmllWRqWUPxddivGni8ma/b7vttu10r9bOWECzfbezfM4552z5O8Zej8v0aoy8HY+ydduxyk9+jFWXfXfRaH9xnWYPc9fi3/Ssmtcz47qN1p08L8symu+65dfsQfha9rByy9d39mB8LXvovT6emSUwqGXVvGpZNa+Wt8/7HGNOrU5l47id7Dv6kJWcb3X3Ha3XzWc6e8C7llXyqmUJF2pZ4oVaVsmrllXyasl4+vTppWN5kw+mn7bDfh9uZ4w8v47z1/g3I8tsWcuqedWybLy1rJpXS+crts+yDbd8zqq4D+fXwLDfn7r5DOXnpd3X+My18v1eu+3G+p/4xCdyeq8ECIyhQJRlNBGoZSUhW/4PQCf/mHS6TfaEh7NDgACBKS1QNjAzFYNK45izDCVtXRPnnXdeLR5UKPu3KHuav2mbWTbPWuy/rJ2sxFQty4jXtK3JK2RPg9ayTAilbWdZ+SZv1vB9VoqqtJ0I8mslMLFR4xGIuthii5W2n2X4a7TpbPPKBnUmGkdgWVaeY7bt8xlZhtV6gGqWvTCf1dPXVv/gj8GwLKtlW32544476oOVE49/8u8x2NZs6odtfA4n923y+/XXX7+WZXFs1t3Zlse13uwzu9FGG822XaMZrQ6YRUBpBCq3M2XZVpsGlmZlg1pqsttBs1G5P7X6+YkvtLLMyS3ZxUoRdD75+it6H/+u3nLLLS23vc0225S2vffee7fclhUJECBAgAABAqMgkFW96CiAouj/X1XOz8o1jgKhPhIgMIQC7QaVZpVWmgZbRiBeVtmk7aOtMqg0q25UW3TRRUv/bo37cATLZVVk6mNVWXa12foc45lZFZl6QF0r9+12Hu5udSxg4n6zClX1B4+zClW1rEJVLatQVYuxv3jQPAL2sgpVTY852nv3u98927E2mtHtuEy0Wfawby+DSvttlfv9z//8T0vnIAKXs2petaya12wPDsc5jesjK03ftK0IbIs22pmajZPHNRIPr0figqyaVy2r8DRb81lm4lokcYiHirNqXk37GW2+7GUvm62dohmtjuNO/HyU/R7BsL2eOvlMZ5W8CoO8434b9588eUTZ8Z100kktH16/bEfhPtzqGPlE+wgAjwf+Jydkic9JfO+RVfNq6fPQ6r8XVdyH84tj2O9PnXyGIkA+q+ZVT+AR39PF/TOr5lWL71Li4ZiJ567d3yPYO6vmVfv+979fy6p51RPcZNW8avFdX7NEKLGv5z73uR1/55ifM68ECAyvgKDS4T03fevZMGYpzf+xk620b5eBHREgMKQCgkr/k0U7BniyctkdnakPfehDpX9UtRKoFwMW+b9PjV4j8107gUqTDyQCS8uyqq6wwgotPdUZT4026l/Miz/u7rzzzsm7but9ZGgsaj/m77777i2118qgTpzzSy65pKX2+rVSq3/wt5qhdHK/YxC/bAAtlt1zzz2TN5vlfT9s11prrdLrYJ111qk1+pJilo6WvInBprLrLJa1kq201QGzTs9XDCiX9TOe3I6sCM2mbgfNRuX+1MrnJ7IwtBucf9FFF5Weh/wcRVB8u/fACFyPL2jyNia/brjhhs1Or+UECBAgQIAAgZESGMYspfn/wWQrHalLSWcJDJVAu0Gl0fl4CD2//xS9xnhdK3/3T8SoMqh0FKrItDIWMNF3EBWquh2XifM7iKDSQVg1O9b8XMYYZqsVgVTz+s93ILlf0eswVPNq5zMd4/utjrtWWckrrtNWxsgnOndqOwr34VbHyMNjUNW8qrgPj8r9qZ3PkGpecVZNBAgMUkBQ6SD1h2Tfw5qlNP+PnGylQ3Kh6AYBAgMREFT6nwGVgw46qONzECWo44n8/N+Wya9R0qrZFBk+J2838f1XvvKVZk00Xd6s1HKzzJfx1PTEPk3+/SMf+UjTPrSywuKLL164n/e///2tNNHSoM4uu+zSUlv9XKmVP/jj/1bdTPFU6ORzN/F9s6d7Wxkw68a2WZbSBRdcsP5EazcGsW1kk5h43JN/j4HzZlMrA2abb755s2ZKl8c1P7lvE99HIHazqdtBs1G4P4VBK5+fKIHVyfSKV7yi9DzEOWknm8HEPpRlQo1AfhMBAgQIECBAYFwEhjlLaf5/bNlKx+VqcxwE+ivQSVBp9PCDH/xg0781d9ttt7YOpqqg0mbjM3HfHIYqMq2MBURfB1mhqttxmbgA+hlUOkirUamW0yxLqWpebd22Zlm51c/0ICt5RYdbGSOPe083ldJG5T7cyhh5WAyymlcV9+FRuT+1+hlSzWuWW483BAgMSGCu7B8I0xQWuP3221OWxjpl5Xo7Vog2Hn744cLtF1poofSiF72ocHmzBVmmopRl5EpLLLFEs1UtJ0CAAIExFciygKYs22jHRxf/hmRlZ1JWIqdhG3fddVfD+fnMmTNnpiwrYv52ttfsadT03//937PNb3dG9odzyp7cTY8++mjDTbOSTykLbmq4LGaef/75hctiwbbbblu6vNWFWcmLdP/99zdcPSuH0nB+uzOzp9nTrrvu2u5mA18/+n3kkUd21Y9PfvKTKQtSTlmGxIbtZNkxU1aWqeGyVmZ2axv7L5sOOOCArv7vl7cdjhdccEHKSrnks2Z5PeOMM1JW3iVlQayzzG/nTdxbvvrVr7azyWzrZmVnUvQly8w627KYcdxxx6Wtt9664bIqZo7K/amVY80GcdM+++zTyqqzrZOV90q//vWvZ5ufz4h/B7bYYov8bVuvq6++ejrvvPMabpOV4Gs430wCBAgQIECAwCgKxP9rV1xxxY67npXDTDGWWzYtv/zyKSthW7ZK6bLvfOc7afr06aXrWEiAAIGqBLJS6+nHP/5xygJBC5uMcYGstHPKSmMXrtOLBXvvvXdps1kVmRRjOFlgV+l6jRbGOOycc86ZsuzVjRbX5/3whz9M119/fVpllVUK12l1QZbNMJ1zzjkpK5Xe6ib19TbaaKN6H2PMtGi6/PLLU/YAeNHikZs/aKuslH3p5yHG2s4888wU48ftTtmDu+nCCy9Ma6yxRnrqqacabn7ooYemHXbYIWUJJBouz2eeffbZ+a+zvWbVvOqfjawyzWzLWpmx6KKLpi9+8YtpxowZhatnlXIKl7W7IM55VpY6rb322oWbPu95z0sf/ehHC5cPYsGxxx5b+l1Goz4ttdRS9XOTBf0WjrXGNfDxj388Pf/5z2/URFvzurUdp/twwB1//PH1f8/aQXzjG9+YTjvttLTJJpsUbnbiiSemAw88MIV3L6dRuT+1YpBV80pZ0HLKMqK3snp9nfg+rWgMe2IjWTWv+j1lySWXnDi79Pcs83T9O5BHHnmk4XpZlcmG880kQGD0BQSVjv457OoIll122foffd008o53vKP+x15RGxtvvHHKnrgoWmw+AQIECBBoKvCe97wnxUMK3Uyvf/3rC4NKmwVCxuBx2XTwwQc3Hcgq2z5fFkFPO+64Y4rB6EZTBI9lDyIV7isCTk8//fR06623zvITg1hZFr+06qqrNmq27XnxJeDPf/7zhtvFl4hVTBEglj11X0VTfW1j0003Te38Md6oczFg8L73va/wOojB1QhgjODQTqZubbNS44W7jQDPsgHVwg0bLIgB2iyLcDriiCMaLE3pX//6V7rsssvaHpyc2FjcW7odgMwy99YHzWLAvNF05ZVXdnW+GrU5cd6o3J8m9rno9wgOWGSRRYoWl85v9rmLc93JF2mx07IvQgSVlp4WCwkQIECAAIERE9h9991T/HQ6ZVVCmv4dF18qr7XWWp3uwnYECBDoq8DCCy9cf6C1LCgxK92dttlmm/oD6b0OmMkP/ic/+Un62c9+lr+d7TXGZ+J+2+nfwdFgPND8ox/9qB5EMtsO/j0jgkxOPfXUosUtz993333bDijNG49tsyx89THTfN7E12bJBCauOwq/D9qqaNw6t8uqjZWOo+TrFb1GYGkEM3/9619vuEokjYiA5rLEC3fccUe65pprGm4fM2Pctdk4UuHG/14QD5DH/5mKEi/E/4mqmrLqY6UBpVXtp8p24p6ZVXfqqMkIootgzc985jMNt49x8W6TLuQNd2M7bvfhrJpXx+csYkHifBfFgzz00EP1wNNeJl6IczoK96f82mv2GtdmOwGl0V4kv4nvAcsSL8R64dTuPTAC1yOAuCho9b777oumTQQIjKHAtDE8JodEgAABAgQIjJlABIR2O5Vlzc7KYpQ2H4FrRVM80RxPzlY1xR9mRdNf/vKX0qwv8YdgVjI87bnnnvXB1HiSMTKSP/bYYykCUquall566cKmmlkWbjhpQb+zO0zafcdvu8kgOnGnWXm1iW9n+T0y2V5yySWzzGvnTTe2DzzwQPrVr35VuLutttqqq6xDkxveaaedJs+a5f1Pf/rTWd63+6Ys40Y7bZWdrxjovPrqq9tprq11R+X+1MpBdRNc0Gwg7HWve10rXWi4TmRQLZqKMmcUrW8+AQIECBAgQIAAAQIECIyWQGRfaxYIc/PNN6dPf/rTfTuwflaRiayORVNkuC6rZFi03cT5VVWomtjmxN/HKah00Fb9rJZTltW8LDNtnPt+VvOaeK1N/L1ZEouJ65b93m3FqbK2e7WsqkpeZYkAmt0DWzm2bm2b9aHKal79uA9XUc2rLAlGVPPq5TQq96dWDLqt5lW2j26reRW1LfFCkYz5BEZfQFDp6J9DR0CAAAECBMZeoN3SR41AykpklwVCRsBQZBosmqIscpSDqmqKp7HLprIsBEXbRVaCsqCoou0azf/nP/+Zyp60rirAqpvAx0b97se8MF5vvfUq2dUrX/nK0rLugwoqjf1GttyiKTK1VjmtvPLKKTLjFk3dBJVGtpFughgn9mndddctzCAc63XyuZ3YftHv43B/mnhs3ZyPZpmNu/l3pNNyaBOPze8ECBAgQIAAAQIECBAgMLoChx12WNOsXrFOlFrvx9TvKjJFx5RXkSla3sr8qipUFe2rquC+ovb7OX/QVv2ullNkm1fzKlqeV/OKctvxQHmM20XCiWnTpqVVVlml0mpeRX2YytW8qqzkVeSbV/IqWt7K/FGr5lV0TFXdh8uCeIv2PXF+Xs1r4ryJv+fVvCbOq/L3Ubk/tXLMqnm1omQdAgT6JSCotF/S9kOAAAECBAh0LBCBZd1OZUGlZYM8USoiMkMWTVUHP0YW0PgDvGgqK91TtE0382Pg9dJLL00HH3xwirI1UZL8hBNOKGyyLOCwcKMGC9ZYY40Gc4d7VmSsjcHJKqY55pijNAPun//85453043t7373u9L9rrrqqqXLO1n42te+tnCzm266qXBZswVV9jUCipdbbrnCXV533XWFy7pZMG73p27u9WVPwodxNwOjkQnERIAAAQIECBAgQIAAAQJTV2ChhRZKRx11VCnA008/nbbZZpt6xaDSFbtcOG5VZAZdoarL09HXzQdtNSrVclTz6utlOdvORqGSV3S6m+91xu0+rJrXbJdx6Yxuqg2WNvzvhd0kXlDNqxVh6xAg0I7AXO2sbF0CBAgQIECAQL8F5p133hSZNrudykrmlAVCNgve+/znP5+aPQXZbt/vv//+wk1iwKLqKQa9oxTUrbfemv7whz/UX2+88cZ0ww03pNtuuy3F8n5Ocb4jeHXUpiqDFOPY48n5COhtNN17772NZjed163tgw8+WLiPeOK/LCC6cMMmCyIb8Le//e2Ga0WJtQiGoNw3AABAAElEQVQKn3vuuRsuL5vZi/MVn6FGUy8+t7Gfcbs/lZVyauTa6rwI9u4mW3NZsHgEgJsIECBAgAABAgQIECBAYPwFNt5443rQ6PHHH194sPEw7qc//en0pS99qXCdbhcMqopM0ZhHN1VkwqKbyiK5ZVkygbIKVfn2o/I6SKthrJaz0kortXXqYly0iu8ZYqeqeTWm70Ulrxj/bTTFvXCDDTZotKiled0ElY7TfbgX1byKvm+Lal7dBEwWndhxuD9NPLZujFTzmijpdwIEqhAQVFqFojYIECBAgACBngn0Ksio1Q7/5S9/abpqlO7o1/TQQw91vKv4Y/7mm29OV199dbr22mvTLbfckn7/+9/XA0kff/zxjtutesMYyBjFaYUVVqi020sssURhe50GlXZrWxZUWlamvvBAWliw7LLLlq4Vn9FOslAus8wype22uzCyDBdNZW5F27Qyf5zuT89+9rM7Cg5uxSkeKhD82YqUdQgQIECAAAECBAgQIECgTCCCRS+44IL6w9lF6335y19Om222WYrSyr2YBlVFpiiotJsqMuHTTdWS3LcsqLSsQlW+/ai8DtJqUNVyipIvDKKaV4ypX3HFFWnmzJnp4osvTlHhq2gqCqorWr9ofjcVp4ra7OX8XlTyKkq60Oxh+2bH2Y3tON2Hq0y8kFfzKvr3YtyqefXq/tTNvV41r2affMsJEGhXQFBpu2LWJ0CAAAECBPoq0E12uSo62k0QZxX7n9xGK0Fkk7eJJ6dPPPHEdMghh9QDSScvH7b33QY+Dup4ohRalVPZgPg999zT0a66tS0LjuxVAHizdjsNKm3WbrvAZeerk89tK/sfh/tTfpxlfvk6nb72MqC0qi8JOj022xEgQIAAAQIECBAgQIBA/wRi7Ofoo49OkbW0aIqKP9tss026/vrr03zzzVe0Wsfzy8ZmRq2KzKArVHV8Egaw4aCtmgXwqeZV/UXRbcWp6nvUvMUqAxRjb72o5BXtdms7TvfhXpyzoqBS1bzi6ms+Vf29Rb5H1bxyCa8ECLQjIKi0HS3rEiBAgAABAn0X6KSsdZWd7FUwWKd9bCeILAY3vvrVr6YjjjgiFT012Wk/erldt4GPvexbWdtVB8WVBVR3ej67tS0bMOvVYEezdv/2t7+VnZbCZVUHGpadr077WNj5fy8Y5fvT5GNrdp4nr+89AQIECBAgQIAAAQIECBAYhMBb3/rWtO2226bjjjuucPdRGehTn/pUOuywwwrX6XRB2djMqFWRMRbQ+lUwaKtWxqBU82r9fLayZrfjuK3so+p1RqGSVxxzt7bjdB9WzavqT0FK7XyHN3nvqnlNFvGeAIFBCwgqHfQZsH8CBAgQIEBgqAUeeeSRoerfE0880VJ/zjjjjDRjxozSMjwtNTRppSif8fjjj0+aW+3bOeecs9oG+9Tao48+WumeyjIgxlOlnUzd2pZlY+1msKTsWJoda6fHFAM0VU5zzVX8p1XV+8r7Par3p7z/E18H/QDBxL74nQABAgQIECBAgAABAgQIlAl86UtfShdccEG68847C1c7/PDD0+abb56mT59euE4nC8qCmXoVeNis3Qg4fP7zn9/24ZQ9oNt2Y2O+waCtejXu1+lpayXIdXLbqnlNFqn+fdnYcSd7K0vi0Gklr+hHL4NKm90vO3GIbZq12+l9uFm77fa37Jx18rltZf/jcH/Kj7PML1+n09eqk2xM7EfZd1kT1/M7AQKjJ9DZt9Gjd5x6TIAAAQIECBDoSKAXZao66si/N2ol8OrQQw9NW2yxRSUBpfGH5ktf+tK04447ptNPPz3de++9aa+99io8hF7+YVq40yFZsMACC1Tak4cffriwvec973mFy3q5IAZfi6ZefVbKHKIvvdpv0XEWzf/73/9etKjrgcqihofl2PP+tXJ/ytf1SoAAAQIECBAgQIAAAQIERlUggnCOPvro0u5HgMU222xTyfjcxB0NY1BppxVajCNMPLPlvw/aqlfBYOVHXby0nSCy+Mzst99+6UUvelHaaaed0i233FLc8BAt6TbwcRCHUnVAXFkwdaeVvMKlW9txug9X/X1O2Tnr9N+KZtfyKN+fJh9b1UG+k9v3ngABAu0KFKfTabcl6xMgQIAAAQIExlBgkUUWKT2qH/3oR2neeectXafKhc329cMf/jDtsssuHe0y/mBdccUV6z8rrbRSevWrX51WXXXVNPkJ4yeffLKj9sd9o2bBj+0ef1mQ4gte8IJ2m6tk/bIBt14NCjVz7TSw8rHHHqvEJG+krJ9lbvn2nbyO2v2pk2O0DQECBAgQIECAAAECBAgQGEaBjTbaKG233Xbp2GOPLezerbfemvbcc88UWUurmiaP001st51Au4nbNfu9V1Vkmu3X8uERGNVqOap59fcaGoVKXiHSaeWrXHOc7sNVV9hSzSulVqsN5tfTxNdBP0AwsS9+J0CAQAgIKnUdECBAgAABAgRKBJoFg0Ug5hprrFHSQv8WxdO52267bUs7jODU9dZbL6255prpla98Zf1n6aWXbmnbsgHqqVzm4q9//WtLfq2uFFlhi6YllliiaFFP55d9Hrp5Orys02UOsV3Z08/dtFu2baNlZcdfNtDYqK1W55Wdj2hjmO5PrR6T9QgQIECAAAECBAgQIECAwKgIHHLIIemCCy5Id9xxR2GXjzjiiLT55puntddeu3CddhaoItOOlnWrEuj0oe6q9j+5nVYCr6Ka16677pqqGK+ObI4veclL0rrrrpve/OY3p7e85S3poIMOSgceeODkrtXfV539seFOhnDmVKjkFezuw8UXX1mijGZj2cWtli8ZxftT+RFZSoAAgeEREFQ6POdCTwgQIECAAIEhFGiWCfDaa68dmqDSyHpwzz33lCpGMOlXvvKVtNVWW3WcYbWsnMjTTz9duv9xXvjb3/620sO7/vrrC9sbVFBp2efhxhtvTE899VQqexq58IBKFsRnrGiKAaPFFlusaHHp/Ntuu610ebsLy87Xoosu2m5zLa1fdj6igWG6P7V0QFYiQIAAAQIECBAgQIAAAQIjJBAPcx599NEpspYWTRHQFg+B/+pXv0rzzz9/0Wotzy8Lyhm1KjItH7QVBy7QbAxKNa+Bn6Kh6EBZJadOOlgWoDioSl5xHON0H1bNq5Mrs3ybZtUGy7e2lAABAsMlIKh0uM6H3hAgQIAAAQJDJrDkkkuW9qgs4K10w4oX/utf/0rHH398aatLLbVUOuecc9JrXvOa0vWaLZSptLHQdddd13hBh3PLghQHFVS6zDLLFB5NDED95je/qWe9LVypgwW//OUvC7dabrnlCpc1WxAl6KqaHn/88fqxF7X3qle9qmhRV/NH5f7U1UHamAABAgQIECBAgAABAgQIDLHAhhtumLbffvt0zDHHFPbyD3/4Q9pjjz1SZC3tdioLZiqrotLNfntVRaabPtm2vwJl1130ZJiq5ajm1d9rY+LepkIlrzjess/DqN2Hm93fJ57fVn4vO37VvFoRtA4BAgSGS2DacHVHbwgQIECAAAECwyUQpeHLsghcc801lXc4gvMeeeSRttqdOXNmuuuuuwq3iSd3r7rqqq4DSmMHN998c+F+pnKm0ggwrur4b7rpplSWXeJ1r3td4Tno5YK11lqrtPnLL7+8dHm7C+NzUBZcu/zyy7fb5DPrX3HFFZWdr/hsPfnkk8+0PfmXNddcc/KsSt6Pyv2pkoPVCAECBAgQIECAAAECBAgQGFKBQw45JC299NKlvfva176WLrnkktJ1WllYljEyryLTSjvtrFP2UH03VWTa6YN1BytQdt1Fz8qukX73vNVqXhEI/uCDD6bvfe97aa+99kobb7xx08/xxGNRzWuixv/9PhUqecWRln0eRu0+PFWqec1+tZpDgAABAq0ICCptRck6BAgQIECAwJQViFLeZQFhUbrqjjvuqMwnnuSMjKLPec5z6mW9V1tttbT55punXXfdtV62PgLhGk233HJLo9nPzPvYxz6WqshuGdk477777mfanfxLZEydqlM8iX3RRRdVcvinnHJKYTtxbay33nqFy3u54BWveEX92izaxwknnFC0qKP5p512WvrnP/9ZuO3rX//6wmXNFsTAb1XZZU8++eTC3T3rWc+qJJi70Q5G5f7UqO/mESBAgAABAgQIECBAgACBcRFYcMEF0ze+8Y3Sw6nVamnbbbdt+0HyyY22UkVm8jbdvu9VFZlu+2X7/gmMSrWcVqt5XXbZZWm77bZL3ZSpVs1r9uuvqrHWvOWyZANVfNeR76fd13G6D6vm1e7Ztz4BAgSmloCg0ql1vh0tAQIECBAg0IHAG97whsKtnnjiiRQBm1VNX/rSl1L+lHM8KR2Dtt/97ndTzN95551TUbDhn/70p9IubLDBBqXLW1143nnnla4aHlN5qiKoMrKdlgUpbrTRRikCFQcxzTnnnKVB1ldeeWWKQOuqprLScbGPddddt6tdnXTSSV1tHxv/4x//SN/+9rcL21l11VXTPPPMU7i82wWjcH/q9hhtT4AAAQIECBAgQIAAAQIEhl0gxt522GGH0m5GRrhPfvKTpes0WzhOVWSaHavlwyMwKtVyVPMa7DUzFSp5hfA43YdV8+rsM9NJtcHO9mQrAgQIDFZAUOlg/e2dAAECBAgQGAGBt771raW9POuss1KzYMvSBv69MIJJv/rVr5au+uEPf7jh8ghALZsio2G307333psOPfTQ0mamelBpBAB3+3TvscceW5r99p3vfGfpOej1wigFVTZ96lOfKlvc8rJzzjknFWXmjUYWX3zxrjOARtDqAw880HKfGq148MEHp4cffrjRovq8D3zgA4XLqlgwCvenKo5TGwQIECBAgAABAgQIECBAYNgFvvjFL6YXvehFpd08++yzS5c3WzhOVWSaHavlwyMwKtVyVPMa7DUzFSp5hfA43YdV82r/M9NptcH292QLAgQIDF5AUOngz4EeECBAgAABAkMu8NrXvjZNnz69tJcf/ehHS8t0l27874X77rtv+vvf/164apQ8X3nllRsuX3jhhRvOz2eWlYrJ12n2GtkWmgXgTfWg0ijVHk5R0qyT6c9//nPafffdCzeNjJfNgjoLN65oQZRqW2ihhQpbO/fcc1MExnYzRZD0jjvuWNrE9ttvnyJzajfTo48+mmbMmNHx+fr1r3+dDjjggMIuhFOvg0pH4f5UCGQBAQIECBAgQIAAAQIECBAYI4EFF1wwNau60u3hjlsVmW49bN8/gVGolqOaV/+uh6I9jXslrzjucbsPq+ZVdDU3nt9ptcHGrZlLgACB4RYQVDrc50fvCBAgQIAAgSERKAv0iy7+4Q9/SLvsskvHwWnxh+jhhx9eerQf+9jHCpcvscQShctiQbdZEA488MD0/e9/v3QfsbAsKLbpxmOywk9+8pMUAcLtTmH37ne/O/3tb38r3PQjH/lIes5znlO4vB8LFlhggfShD32odFdxrYZDJ1M4bLbZZiky4xZNkR1hp512Klrc1vwIgj3ooIPa2iZWvvvuu9O73vWu9OSTTxZuu91226X555+/cHlVC4b9/lTVcWqHAAECBAgQIECAAAECBAgMu8D666/fdNyk22No9sDxKFWR6dbC9v0TGIVqOap59e96KNrTVKjkFcc+Tvdh1byKrubZ53dTbXD21swhQIDA8AsIKh3+c6SHBAgQIECAwBAIbLLJJoVZQvPuHXnkkWmLLbZoO2Pp8ccfn3bbbbe8mYavL37xi1PZwN0qq6zScLt85ne+852Oskc+8sgjacstt0ytDkYLKv0/8Qgq3WeffXL+pq8xGLHBBhukyy+/vHDdpZZaKu2///6Fy/u5YOedd07PfvazC3cZGUDjeo1BxHamCCR985vfnC699NLSzf73f/+3aTm50gYmLfz0pz9dmnF00uopsh6ss8466Xe/+93kRc+8j+DbskDwZ1as4Jdhvz9VcIiaIECAAAECBAgQIECAAAECIyPwxS9+MS2zzDI96+84VZHpGZKGKxcYhWo5qnlVftrbbnAqVPIKlHG6D6vm1fpl3k21wdb3Yk0CBAgMj4Cg0uE5F3pCgAABAgTaEogy2TFI0o+fCy+8sK2+jePKc8wxRzr55JPTs571rNLDO+OMM9KKK66YTj311KZZS6+77rr0jne8oz4A0axc+ic/+ck0bVrxf93WWmuttOiii5b27aMf/Wj6xje+kf71r3+VrhcLo4x9HMtqq62WTjvttKbr5ytEUGlsa0r1ANA3velN6ZZbbinlCOeVVlop/fznPy9d7ytf+UqKQMVhmJZccsmmmXVjAHHzzTevZ19tVnrqqaeeSkcccURaYYUV0lVXXVV6iBHMuddee5Wu0+7Cp59+OkVgaWQeve222wo3j/WOOuqo9IpXvKI0oDQaiONZeumlC9uqcsGw35+qPFZtESBAgAABAgQIECBAgACBYReIKjOR+S3+Xu/FNG5VZHphpM3eCAx7tRzVvHpz3tttddwreYXHuN2HVfNqfpV3W22w+R6sQYAAgeETmGv4uqRHBAgQIECAQKsCf/3rX1tdtav1Hnrooa62H5eNX/3qV6cvf/nLTctu33777WmrrbZKe+yxR4oMgmuvvXZ6wQtekKJkdyz7/e9/n37xi1+k8847r2ngadhFtsMddtihlHHOOedM22yzTYpMCEXTY489Vi+/FX/87rnnnumVr3xl+q//+q+00EILpccffzzdcccd9QyM0a+TTjop3X///UVNFc6P4NhoZ/nlly9cZyotiAG0CDKO4NIIsHzJS15SL4d+3333pauvvjp961vfql8PzUze/va31wOQm63Xz+VxTUZG0VNOOaV0t5El96yzzkrTp09Pm266aXrpS1+aFl988fSPf/wj3XXXXeniiy9O55xzTnrggQdK24mFiyyySH1/ZQHWTRspWeHMM8+s9zXKF8XPsssum5773OemyKAaQb/f/OY305133lnSwv8tiuy+W2+9ddP1qlxhmO9PVR6ntggQIECAAAECBAgQIECAwCgIrLfeemnHHXdMX//613vS3agic/jhhxdWTMqryMRYxmabbdZyH2IM5G1ve1vTh36rriLTcgetOFCBvFrOjTfeWNiPqOYV43wxvlxW6WhyA/2s5rXddttN3n3p+6jmtf3227ecfEE1r5Qio2M8oL/ffvuV2uYLo5JXXF9liReGqZJX9Hvc7sORdCHOWatV6yKRxPrrr1+afGEQ1byG9f6UX+teCRAgMEoCgkpH6WzpKwECBAgQIDBwgRgMvvLKK1MMcjWbIrgyBtHip9PpAx/4QDr00ENb2vwzn/lMOuGEE5oG5/32t79NM2bMeKbNGNyLoNJm2VLzDSIj6oMPPpi/ne01Bn4Elf6HJTLDRrbfTjP+rrLKKvXsmP9pcXh+iy9GbrjhhhRZd8umMLjkkkvqP2XrlS2bZ5550oknnpgiS2ovpxg4+/73v1//6WQ/cb569YVRs/4M8/2pWd8tJ0CAAAECBAgQIECAAAEC4yZw8MEHp/PPP7/+kHnVx5ZXkfnQhz5U2HReRSYqsxxyyCHpRS96UeG6UUUmxjP23nvv1CyRQS+qyBR2zIKhEsir5ay55pr18eSizkVlpqhGdMABB6R4+Losa2+MK0aQcjx03mxqtZpX2dh1VPOK8b8oXx6JGsqmqMgV/YrPxc0331y26izL8mpeMZ45laf9998/XXbZZfWx7Ui2UDTF9RLnJYLay6ZhquQV/Ry3+3B8LiKw9Jprrklf+MIX6glJGp2PWC8q4sXn8eGHH260yjPzBlHNa1jvT8+g+IUAAQIjJCCodIROlq4SIECAAAECwyFw7LHH1gcMPve5z/W0Q5EV4LjjjisddJvYgcioGE+AR1bLGAhudYoB5lanN77xjfXsmnkAa6PtLrroovT+97+/0aKxnxcBuu14NgPZcMMN0+mnn56ibNowTvPPP389W+l73/veFCVyejUtt9xydYdVV121sl3EU/Lxhcrf/va3ytqMbKwRkBqfxUFNw3p/GpSH/RIgQIAAAQIECBAgQIAAgUEJxHjOMcccU8/k1urD3O30dRyryLRz/NYdjMAwV8tRzWsw10TZXse5klcc9zjeh1Xz6k21wbLPiWUECBAYVgFBpcN6ZvSLAAECBAgQGFqBeLI6nrJ92cteVi97E1k+q54iMPS0005Lc83V3n/XNtpooxRBZTGYEU9SVzVFP/baa6/02c9+tv4E9wYbbFDPitqo/Qiqi9Lm8803X6PFYztvpZVWqgcpvuMd7yh9Ur9VgJ122inFk7zNnphvtb1erRdfkMQT+7vttls67LDDKt/NO9/5znpm4KoDNVdeeeX0ne98J0X7UcKq2ynO+6mnntpWWa9u99lo+2G+PzXqr3kECBAgQIAAAQIECBAgQGCcBd785jenGOPpppJRmc84VpEpO17LhkNgmKvl5MkQHnjggVIs1bxKeSpdOM6VvAJqHO/Dqnm1/hFop9pg661akwABAsMhMG04uqEXBAgQIECAAIHRE4hsnFH2ppVSOa0e3Qtf+MIU5V4iSC+yXnYyffCDH0y/+c1v0uabb97J5rNsEwGNW2+9dYpBtsjsmAc4rrfeemnatMb/lYzyQieccMIs7UyVN5FZ9Je//GVaffXVOz7kCFYOv/iyIffuuLE+bRj9PPTQQ9PPfvazFNlsq5he/OIX1w2++93v9izzZ1zH1157bXrta1/bcZfjMxvBpGeddVbHn9mOd16y4bDen0q6bBEBAgQIECBAgAABAgQIEBhLgYMPPjgtu+yyPTm2vIrMxhtv3JP280ajiszll1+eNtlkk3yW1ykuEIkNIoCz11On1bzaTdYQ1adazSgc45/XX399mjFjRuHhRzWvqTh1+p1GkVWMt8+cOTMtscQSRasMfP4o34fjO5+qkzlENa+f/vSnlbfbzoke1vtTO8dgXQIECAyDQONIgGHomT4QIECAAAECKf4YHYaprB9lyxZYYIGWul+2Xln7LTX+75XK9lG2rNk+lllmmXpm0Aji/NCHPpSWXnrpZps0XB5/aJ944onp97//fXrXu97VcJ12Zi6//PL1LIwx4NJJwNxSSy2V4onzm266qR7gGO1NnBZbbLEUpY6Kph/+8IdFi+rzy85rN+ejdKd9WhgZMGOQ/ctf/nI9m22ru33DG96Qzj777Lp5BPJ2Og3S9vWvf319wCjOfwz4lvWl0fHNM888aYsttkgx6Pq73/2unsmj0Xqtzivbf74sglcjGDa+4InfW53iM7HPPvvUA8u33HLLVjdruF7el0YLu/k8DNv9qexYygwauUyeV7Z92bLJ7TR6H1mXIwNso6nsmBqtbx4BAgQIECBAgAABAgQITD2B+NsxAlyK/rbsViSvIvPxj3+826Yabh9VXq655pq06qqrNlxu5tQUyKvlnHzyyelZz3pWTxCimtfpp5/ecTWvGGuscopA1b333jtdfPHFackll0xRzatoyqt5FS0fx/lRySsevK/qeogszz/4wQ9S3OOGfRrV+3BezauqMc6o5nXBBRcMNKA0rpVhvj8N+7WsfwQIEJgo0F491Ylb+p0AAQIECBDouUAEBA779Ja3vKXlJ3iLjmXTTTftuo2itvP58RR9q08a59u08/rSl740HXXUUfVNIqtn/OEcgab3339//SfK7Tz22GNpwQUXTAsttFBaeOGF04orrljPaLnGGmukyHbYiykCFa+88sp64FsErN566631n/j9D3/4Q4rSM4svvnj953nPe16KQYQ4pzEA1Gy6+uqrm61SuDyyu8bPuE6RuXPnnXeu/1xxxRX1wbTbb7893Xnnnemee+6pD4S95CUvSflPBOi+6lWvqoRjGGzjCfL4eeKJJ9Jll11WDxKNY7/vvvvqn4e//OUvKQaqIugxfiJbR7yuu+66KQKWq5re+973pvhpNs0999xp9913r/9EgOn3vve99Kc//al+vu6+++4Uy+MzGoPFkZkj7lllQdXN9jd5eb7vyfOrej8s96de3utXW221nt3jX/7yl6co+WQiQIAAAQIECBAgQIAAAQKdCrzpTW9KH/7wh9PXvva1Tpso3S6vIvPud7877bXXXunSSy8tXb+VhfHw7a677tr1Q7+t7Ms6oysQ1XIiYUJkPIykCTHe3O0U43DxwH43yReimtdaa62V9thjj3TmmWd21aX4fMVxRkDpxOQLeTWvRuNGeTWvj3zkI13te9Q2zit5xRj1L37xi466H5W84j7WTeKFjnbc5Uajeh/Oq3lttdVW6aqrrupIIT6zhxxySOo2+UJHOy/ZaFjvTyVdtogAAQJDJSCodKhOh84QIECAAAEC4yCwwgorpPgZlimeyhy2Pg2LTT/68brXvS7Fz1ScIhtAfGkSP6MyxWBz/Izr5F4wrmfWcREgQIAAAQIECBAgQIBAkUBZBrayZUXtdTr/oIMOSlHd5bbbbitsottqG3kVmfPPP78ewBoZFR999NHC/U1eEGM5kZk0KjLFw7/dZlct8+32WPO+l+2jbFm+fVk/Wtk+2qmijbJ9lbWfH0crr2X7KFvWrO28Wk4EcEZgWVznd9xxR7PNZlsewanbb799iuDoeeedd7bl7c7Iq3nFQ++77LJL2wFzUc1r4403rgdXR3KAyVNezeuXv/zl5EX19+FQFlRadl67OR8NO9PHmXklr69+9av1+9DNN9/c0t4jQcZuu+2WIkNtt/eeQdoO2324zCJfllfzOuyww9LRRx9dr6jXykmLz9j73ve+erKGbq7ZvB+N9tlNu9HesN2fyo6nzKGRzeR5ZduXLZvcTqP3eTWvRsl7yo6pUVvmESAwOgJzZB/62uh0V0+HUSDSmJ9zzjmFXYv/SJxyyimFyy0gQIAAAQIECIyKwDe/+c36U+mN+hvZXW+88cZGi8wjQIAAAQIECBAgQIDA2AtElv9mVTgiqGOcH+Ia+5PsAAkQGDmBQVeRGTkwHa5MYJiqecVBRUhEBDdWXc2rMrARaaiT8fF+V/IaNspRvA8PoppXP8/bsN2f+nns9kWAAIF2BGQqbUfLugQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEBgBgVGsIjMCrLrYgsCwVctRzauFk9ajVaZyJa8gHcX7sGpePfowaJYAAQIjJjBtxPqruwQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAj0QEFTaA1RNEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgRGTUBQ6aidMf0lQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECPRAQFBpD1A1SYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAYNQFBpaN2xvSXAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQINADAUGlPUDVJAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEBg1AQElY7aGdNfAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAPBASV9gBVkwQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBURMQVDpqZ0x/CRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQI9EBBU2gNUTRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIERk1grlHrsP4SIECAAAECBAgQGJTAYostlpZYYomGu19mmWUazjeTAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAiMioCg0lE5U/pJgAABAgQIECAwcIENNtgg3X333QPvhw4QIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFeCAgq7YWqNgkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECYyKgkteYnEiHQYAAAQIEWhAQVNoCklUIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAlNVQCWvqXrmHTcBAgQITEWBaVPxoB0zAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIDArAKCSmf18I4AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgMCUFBJVOydPuoAkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECswoIKp3VwzsCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAwJQUEFQ6JU+7gyZAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIzCogqHRWD+8IECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAlNSQFDplDztDpoAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgMKuAoNJZPbwjQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECExJAUGlU/K0O2gCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAwKwCgkpn9fCOAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIDAlBQSVTsnT7qAJECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABArMKCCqd1cM7AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgMCUFBBUOiVPu4MmQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg8P/Zuw/wust6ceDfjCZp0l26oANayigyWmjLniKyyhZlXEFURAT1KqAo/lW4onJlKHoBUQTZw0KLclGGyCgtq5TZAd17j6RJmvE/J16gadNzTtskTXI+v+c5T87v937f9XnzSD35nvclQIAAAQIE6gtIKq3v4Y4AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkJUCkkqzctlNmgABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBQX0BSaX0PdwQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBrBSQVJqVy27SBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIH6ApJK63u4I0CAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAhkpYCk0qxcdpMmQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECNQXkFRa38MdAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCArBSSVZuWymzQBAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAoL6ApNL6Hu4IECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAlkpIKk0K5fdpAkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC9QUkldb3cEeAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQyEoBSaVZuewmTYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBCoLyCptL6HOwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAVgpIKs3KZTdpAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEB9AUml9T3cESBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgSyUkBSaVYuu0kTIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBOoLSCqt7+GOAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJCVApJKs3LZTZoAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUF9AUml9D3cECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgawUkFSalctu0gQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACB+gKSSut7uCNAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIZKWApNKsXHaTJkCAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAjUF5BUWt/DHQECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEAgKwUklWblsps0AQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKC+gKTS+h7uCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJZKSCpNCuX3aQJECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAvUFJJXW93BHgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEMhKAUmlWbnsJk2AAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQqC8gqbS+hzsCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQFYKSCrNymU3aQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAfQFJpfU93BEgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEslJAUmlWLrtJEyBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgTqC0gqre/hjgABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECCQlQKSSrNy2U2aAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIFBfQFJpfQ93BAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIGsFJBUmpXLbtIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgfoCkkrre7gjQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECGSlgKTSrFx2kyZAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQI1BeQVFrfwx0BAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAICsFJJVm5bKbNAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgvoCk0voe7ggQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECWSkgqTQrl92kCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQL1BSSV1vdwR4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDISgFJpVm57CZNgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEKgvIKm0voc7AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBWCkgqzcplN2kCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQH0BSaX1PdwRIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBLJSQFJpVi67SRMgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE6gtIKq3v4Y4AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkJUCkkqzctlNmgABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBQX0BSaX0PdwQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBrBSQVJqVy27SBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIH6Avn1b90RIECAAAECBAgQaBqB5asrY8nKiigrr4p11bXRviAvStrnRZ9u7aMw8d5FgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIbFsBSaXb1l/vBAgQIECAAIE2KzB59qoY/+7SeH3q8pg2d3WsWVu1ybn27lYUe+zYOYbt0jUO3KNHdO1YsMlYBQQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDTCEgqbRpXrRIgQIAAAQIEslKgrKIqHn9pXjw+bm7MWlSWscGCZeWRfD39+sLIy50cI3brFqcd1i/227V7xm0IJECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBLZOQFLp1vmpTYAAAQIECBAgkBCoqq6Jh5+bHfc+NSNWlW16R9JMsKpramNcYofT5Gu3/p3i6ycPjr0GdsmkqhgCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEBgKwQklW4FnqoECBAgQIAAAQIR789aFdfe827MXFja6BzJti/99Wtx7Mg+cckpu0RxkX++NjqyBgkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAwP8J+Ku8XwUCBAgQIECAAIEtFnj4uVlxy5hpiZ1Ka7e4jUwqPjF+fkz6YEX89Et7xqDtO2ZSRQwBAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECCwmQK5mxkvnAABAgQIECBAgEDUJI6ov+nhyXHz6KlNnlD6EffcJWvjGze9Fq9PWfbRIz8JECBAIMsFSksbf5fsLCc1fQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCDLBSSVZvkvgOkTIECAAAECBLZE4Lr734vRL8zZkqpbVWdtRXVcfuvEeHXy0q1qR2UCBAgQaP0CL774Yuy8884xZsyY1j8ZMyBAgAABAgQIECBAgAABAgQIECBAgAABAgQItBABSaUtZCEMgwABAgQIECDQWgRuHTstnpgwf5sNt6q6Nq76w1vx/qxV22wMOiZAgACBbStw1113xVFHHRULFiyIs88+OyZNmrRtB6R3AgQIECBAgAABAgQIECBAgAABAgQIECBAgEAbEchvI/MwDQIECBAgQIAAgWYQ+OfEhXHf0zM3q6cuHdrFIXv1jL0HdYmd+pRE144F0S4vN5K7ji5YtjamzFkdr7y/LLH76LKorqnNqO21ldXxoz9OitsvGxmdStplVEcQAQIECLR+gdra2rjyyivj5z//+ceTWbNmTZx44okxYcKE6NWr18fPvSFAgAABAgQIECBAgAABAgQIECBAgAABAgQIENh8AUmlm2+mBgECBAgQIEAgKwUWLi+PX973XsZz79+rOM47ZmAcunePyE8kkW54dSxuFz27FsVeg7rG6Yf1j+WrK+Ph52YlXrOjYl3NhuEb3S9aURG/vP+9uOaCvTYq84AAAQIE2p5AaWlpnHPOOfHoo49uNLlZs2bFKaecEs8++2wUFhZuVO4BAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAZgIb/3U/s3qiCBAgQIAAAQIEskzgN3+ZEmWJ3UXTXXm5OXHBcQPjj5ePjCOH9WowobShNpI7mH7lhJ3jzu/vH0MHd20oZKNnL7y1OF5MvFwECBAg0LYFZs+eHQcddFCDCaUfzXzcuHFxwQUXfHTrJwECBAgQIECAAAECBAgQIECAAAECBAgQIECAwBYISCrdAjRVCBAgQIAAAQLZJvDalGWRTOBMd5UU5cV/X7RPnPuZnTJOJt2wzd7d2sevLhoapx3ab8OiBu9vfnRKVFWn39m0wcoeEiBAgECLFxg/fnwMHz483nzzzbRjveeee+JnP/tZ2jgBBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECDQtIKm3YxVMCBAgQIECAAIH1BO56cvp6dw2/LSrITSSUDk3sMtqt4YDNeJqb2O30klN3iTOP6J+21vyl5fHUawvTxgkgQIAAgdYncO+998bhhx8eCxdm/r/z77//fuubqBETIECAAAECBAgQIECAAAECBAgQIECAAAECBFqIgKTSFrIQhkGAAAECBAgQaKkCk2evijc/WJF2eN8/e4/YfUDntHGbE/C1UTvHAXtsl7bKA8/OTBsjgAABAgRaj0BtbW1cddVVcfbZZ0d5eXlGA8/JyYlrrrkm7rrrroziBREgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECGwsIKl0YxNPCBAgQIAAAQIE1hN48pX56901/PaY4b3jsL17Nly4FU+TCUJXfGH36Ficn7KV6fNLY+qc1SljFBIgQIBA6xAoKyuLM844oy5BNNMRFxcXx8MPPxw/+MEPMq0ijgABAgQIECBAgAABAgQIECBAgAABAgQIECBAoAEBSaUNoHhEgAABAgQIECDwicA/31j0yU0D7wrb5caFiR1Fm+rq0qEgzvvswLTNP/tG5kcjp21MAAECBAhsE4G5c+fGIYccEo888kjG/fft2zdeeOGFOPXUUzOuI5AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKBhAUmlDbt4SoAAAQIECBAgkBCYPn9NLFtdmdLi2JHbR7eOhSljtrbwhAO2j84l7VI289qUZSnLFRIgQIBAyxZ49dVXY8SIEfH6669nPNBk/IQJE2Lo0KEZ1xFIgAABAgQIECBAgAABAgQIECBAgAABAgQIECCwaQFJpZu2UUKAAAECBAgQyHqBSR+uSGtw7Mg+aWO2NqCwXV4cMbRXymamzlkdayuqU8YoJECAAIGWKfDggw/GoYceGvPmzct4gJ///Ofjueeeiz59mv6/QxkPSiABAgQIECBAgAABAgQIECBAgAABAgQIECBAoJULSCpt5Qto+AQIECBAgACBphSYuaA0ZfNdE0fT79qvU8qYxircf0j3lE3V1EbMWVyWMkYhAQIECLQ8gZ/85CeRTBBdu3ZtRoPLycmJH//4x3HfffdFUVFRRnUEESBAgAABAgQIECBAgAABAgQIECBAgAABAgQIZCaQn1mYKAIECBAgQIAAgWwUSJekuduA5kkoTdrvPqBz2iVIjndw345p4wQQIECAwLYXSCaRnn/++fHAAw9kPJj27dvHnXfeGWeccUbGdQQSIECAAAECBAgQIECAAAECBAgQIECAAAECBAhkLiCpNHMrkQQIECBAgACBrBNYVVaVcs47bNc+ZXljFnYuaRcd2ufHmrWbHtOqsnWN2aW2CBAgQKCJBObPnx8nnXRSvPLKKxn3sP3228djjz0W++23X8Z1BBIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECGyeQO7mhYsmQIAAAQIECBDIJoG1FdUpp5tM8mzOq6QodX9l5anH25xj1RcBAgQINCzw7rvvxogRIzYroXTfffeNCRMmSChtmNRTAgQIECBAgAABAgQIECBAgAABAgQIECBAgECjCUgqbTRKDREgQIAAAQIE2p5Abpp/LdbU1DbrpNP1l5eb06zj0RkBAgQIbL5AcsfRkpKSjCuefvrp8a9//St22GGHjOsIJECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ2DKBNGkCW9aoWgQIECBAgAABAm1DoH1hXsqJrCxt3uPm0x1vn268KSejkAABAgSaRaBLly4xduzY6NatW9r+fvjDH8aDDz4YxcXFaWMFECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIbL2ApNKtN9QCAQIECBAgQKDNCnTrWJhybrMWlaUsb8zCRcvLo2JdTcomu3UsSFmukAABAgRahsDgwYPjoYceivz8/AYHVFRUFPfee29cffXVkZNjF+oGkTwkQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECDSBQMN/vWmCjjRJgAABAgQItC2B1WXrYnYioXD56sooq6iO5LHkxUV50aF9u+jbo3306FLUtiacpbPp1zP1znDvz1wVVdU1kZ/X9N9VmvThirSr0DfNeNM2IIAAAQIEmk3gyCOPjJtvvjm+9rWv1euzd+/e8eijj8bIkSPrPXdDgAABAgQIECBAgAABAgQIECBAgAABAgQIECDQ9AKSSpveWA8ECBAgQKBNCJRVVMXzkxbHq+8vi4nTlsfilRUp51WcODZ9z4FdYt9dusXh+/SMnl0lmaYEa6GFO/UpSTmytZXV8dqU5TFy9+4p4xqj8IW3FqdspqBdbuywXfuUMQoJECBAoGUJXHjhhfHee+/FTTfdVDewffbZJ8aMGRP9+vVrWQM1GgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAlghIKs2ShTZNAgQIECCwpQIzFqyJ+56eGf+cuCjt0ePr95HcvXT8e0vrXr97bGoMHdw1zjyif+w/ZLv1w7xv4QL77Nw17QjHvjS3yZNKl62uiJfeXpJyLHvu1LlZdkxNOQiFBAgQIFAnkEwMXbx4cVxwwQVpRX71q1/F5MmTI3nk/d133x0lJam/0JC2QQEECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQJbLCCpdIvpVCRAgAABAm1bYNGK8vifRDLos28sapSJvjF1eSRfg/t2jEtP3aVuF9NGaVgjTSrQs0tR9O9VHLMWlm2yn+QOoh/MWx2Dtu+4yZitLUgmNldW1aRsZr9dm3631JQDUEiAAAECdQK//OUv4/vf/37k5ubGjjvuGEcddVRKmby8vHjkkUeiffv2kZOTkzJWIQECBAgQIECAAAECBAgQIECAAAECBAgQIECAQNMK5DZt81onQIAAAQIEWqPAoy/MiS/+7OVGSyhd32DqnNVxya9fi+vufy/KE0enu1q+wNH79k47yBsemhw1NbVp47Yk4MN5a+Iv/5qTsmoyB+moYb1SxigkQIAAgaYVqKysjPPOOy+uuOKKxH8TaqKqqirOOOOMmDp1atqOi4uLJZSmQwr2tQAAQABJREFUVRJAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGh6AUmlTW+sBwIECBAg0GoEyiqq4kd/nBQ3Pjw51jZxwudfX54XF/7qlZi5sLTV+GTrQD8zvE/kptk47u3pK+NP//thoxMlfyd/fOdbUZ0mYXXfXbpFz65Fjd6/BgkQIEAgM4HkUffJHUnvvPPOehWWL18eJ5xwQiR/uggQIECAAAECBAgQIECAAAECBAgQIECAAAECBFq+gKTSlr9GRkiAAAECBJpFYMWayvj2za/HvyYtbpb+kp0kE0q/cdOr8c6Mlc3Wp442X6BXIlnzqGHpdyu96+8z4vFxcze/g03UqFhXHVf9YVLMWli2iYhPHp911IBPbrwjQIAAgWYVePvtt2PEiBHxwgsvNNjvlClT6nYsTe5c6iJAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGjZApJKW/b6GB0BAgQIEGgWgdVl6+JbiYTSybNXN0t/63eyuqwqvvO71+NdiaXrs7S49+d8ZsfIS7ddaWLU//3A+3H3P2ZEbW3tVs1h+erK+O7v3ojXpqTf2W7PgV1iWGKnUhcBAgQINL/AX//61zjwwANjxowZKTt/+umn49JLL00Zo5AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQGDbC0gq3fZrYAQECBAgQGCbClRW1cT3f/9mzFiw5cfQJ5MNC9pt+T8ryitr4nu3TYzZi9LvSLlNsbK48wG9SuKMw/tlJHD7Xz+IK257MxYsW5tR/IZBz09aFBdcNz7emp5+B9vk7963T991wybcEyBAgEAzCFx//fUxatSoWL06sy+l/M///E+8+OKLzTAyXRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECGypQP6WVlSPAAECBAgQaBsCvx09Jd7OIHlv/dkmd4Y8ZK8esVfiZ/+exVFc9O9/UqxLJKjOW7I23pu1Kl5+d0m89PaSSCatZnKtSuxY+qM7JsUt3x4ehQV5mVQR08wCXzxmYLzw1uKYszh9suiE95bGf/zs5Th+/+3j5IP7xoDeJSlHW1VdE+PfXRr3Pzsr3vpwRcrY9Qu/kDj2fuD2HdZ/5D0BAgQINLHAunXr4qKLLoo//OEPGfdUUFAQyaTSgw46KOM6AgkQIECAAAECBAgQIECAAAECBAgQIECAAAECBJpfQFJp85vrkQABAgQItBiBFxMJgo+9ODfj8Rw5tFd88ZidNpkg2C4/t64smUD42RF9YlXpunj4uVnxQCJRsGJd+uTS6fNL45Yx0+Kbdp7MeE2aM7B9YV78+Lw94+s3vJpRsnAyoXj0C3PqXjsmfif2HtQldurTIbp2LIjk70pZeVViN9PymDpndbwxdVkkE4s350omN59/7MDNqSKWAAECBLZSYOnSpXHaaafFc889l3FL2223XTzyyCNx6KGHZlxHIAECBAgQIECAAAECBAgQIECAAAECBAgQIECAwLYRkFS6bdz1SoAAAQIEtrlAeWV13PTI5IzG0b1TQfzgnD1i2C7dMor/KKhTSbv40nGD4rjEbpX/9ed3MjrO/NEX58QxiYTU3fp3+qgZP1uQwM47dIwrzxkSP7nz7aitzXxgMxaURvLVWNcO27WPn56/Z+Tl5jRWk9ohQIAAgTQC7733Xpx44onxwQcfpIn8pHjIkCExduzYGDjQlwA+UfGOAAECBAgQIECAAAECBAgQIECAAAECBAgQINByBXJb7tCMjAABAgQIEGhKgeTuoYtWVKTtYucdOsRt3x2x2Qml6zfcu1v7uOEbw+LYkX3Wf9zg+2Si4m9HT2mwzMOWIXD4Pr3i29twN9keXQrjuq8NrdvxtGWIGAUBAgTavsCTTz4ZBxxwwGYllB577LExbtw4CaVt/9fDDAkQIECAAAECBAgQIECAAAECBAgQIECAAIE2JCCptA0tpqkQIECAAIFMBcoqquqOpU8Xnzyy/IaLh0X3ToXpQtOW5+flxhVfGBLHJnYhTXe9NX1lTJy2PF2Y8m0oMOqgvvHDc/do9p1CB/Qqid9+a7/YPrFTqYsAAQIEmkfgN7/5TRx//PGxcuXKjDv85je/WbdDaadOdh7PGE0gAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKAFCEgqbQGLYAgECBAgQKC5Bf7+yoJYXVaVstuSorz42Zf3jo7F7VLGbW7hd87cLYYMSJ9g8tA/Z21u0+KbWeDT+/aOX1+yb/RM7BzaHNdhe/eM3317v0R/Rc3RnT4IECCQ9QJVVVVx0UUXxaWXXhrV1dUZebRr1y5uvfXWuPHGGyMvLy+jOoIIECBAgAABAgQIECBAgAABAgQIECBAgAABAgRajoCk0pazFkZCgAABAgSaTeDJV+an7evrJw9ukt0gkzuWXnnOHtEuLyflGF5+d2msLF2XMkbhthfYY6fOcftlIzPagXZLR9upOD8u/8Lu8ZPz94ySovwtbUY9AgQIENgMgeXLl8cxxxwTt9xyS8a1unXrFk8++WR89atfzbiOQAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgZYlIKm0Za2H0RAgQIAAgSYXWLS8PN6buSplPwP7dIjjRm6fMmZrCvv2KI5TDumXsonqmtp48a3FKWMUtgyBTiXt4oqzhsRvv7lfDBvctdEGVdguN844rF/c/YMDm/T3sdEGrCECBAi0EYEpU6bEyJEj45lnnsl4RrvuumuMHz8+jjjiiIzrCCRAgAABAgQIECBAgAABAgQIECBAgAABAgQIEGh5ArZ6anlrYkQECBAgQKBJBV6fujxt+58/qn/k5KTeSTRtI2kCPndE/3j4uVmRyB3d5PX61GVx3P5Nl9y6yY4VbJFActfS6y8elkhaXhmPj5sX/5y4MErLMzsuef0OB/QqiWOG965b+y4dCtYv8p4AAQIEmljgqaeeijPOOCNWrFiRcU9HH310PPjgg9GlS5eM6wgkQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBomQKSSlvmuhgVAQIECBBoMoG3p6dOEmlfkBeH7dWzyfr/qOHtOhfGfrt2iwnvL/vo0UY/3/pw5UbPPGj5ArsP6BzJ1zdP3zXeSfy+vZFIZJ46d03MWlgaS1ZWRMW6mrpJ5CbylosTx9nvsF376N+zJJJJqcmdTvsnkkpdBAgQILBtBK6++urNSii9+OKL48Ybb4z8fB8vbJsV0ysBAgQIECBAgAABAgQIECBAgAABAgQIECBAoHEF/NWncT21RoAAAQIEWrzAzIVlKce416AuUZhILG2Oa8Tu3VMmlS5cXh7lldVR1EzjaY45Z1MfBfm5MXRwt7rX+vOuSWxPu666JgrbNc/v2fp9e0+AAAECqQUeeuihGDFiRMycOTNlYDKJ9Kabboqvf/3rKeMUEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQItC6B3NY1XKMlQIAAAQIEtlZg7pLUSaW79u+0tV1kXH/Xfun7mrd0bcbtCWwdArmJLUollLaOtTJKAgSyT6Bnz54xduzY6NChwyYnnzzm/oknnpBQukkhBQQIECBAgAABAgQIECBAgAABAgQIECBAgACB1isgqbT1rp2REyBAgACBLRJYU1aVst723dunLG/Mwj4Z9LWmbF1jdqktAgQIECBAII3AnnvuGffee2/k5m78kcHgwYPj5Zdfjk9/+tNpWlFMgAABAgQIECBAgAABAgQIECBAgAABAgQIECDQGgU2/gtRa5yFMRMgQIAAAQIZCVQnjh2vrKpJGVtS1HxHkhdn0NfaiuqU41VIgAABAgQINL7AiSeeGD//+c/rNXzkkUfG+PHjY9ddd6333A0BAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDbEZBU2nbW0kwIECBAgEBagbzEseM5OanD1lXVpg5oxNLq6vR95eX550ojkmuKAAECBAjEq6++mpHCZZddFueff35d7IUXXhhPPvlkdO3aNaO6gggQIECAAAECBAgQIECAAAECBAgQIECAAAECBFqngCyN1rluRk2AAAECBLZYoH1B6p1IV5RWbnHbm1txxZr0R9sXF6Ye7+b2KZ4AAQIECGSrQHV1dXz729+O4cOH1x1vn4nDLbfcEvfff38kf+bn52dSRQwBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEArFpBU2ooXz9AJECBAgMCWCHTvXJiy2swFpSnLG7Nw5sL0faUbb2OOR1sECBAgQKCtCqxatSqSR9rfeOONdVO84IIL4uWXX0473YKCgjjzzDPTxgkgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBBoGwKSStvGOpoFAQIECBDIWKBfz+KUsZM+WJGyvDEL3/xgecrmCtvlRs8uqZNgUzagkAABAgQIEIjp06fHgQceGE888cTHGuXl5XHyySfH7NmzP37mDQECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAFJpX4HCBAgQIBAlgnsvH2HlDOentipdPaispQxjVFYW1sbz09anLKpgYmx5uTkpIxRSIAAAQIECGxa4Pnnn48RI0bEO++8s1HQwoUL63YvLS1Nv3P4RpU9IECAAAECBAgQIECAAAECBAgQIECAAAECBAgQaJMCkkrb5LKaFAECBAgQ2LTA0MFdN134fyVjXpqTNmZrAya8vywWLCtP2czQndOPNWUDCgkQIECAQBYL3HHHHfHpT386lixZskmFN998M84+++yoqanZZIwCAgQIECBAgAABAgQIECBAgAABAgQIECBAgACB7BGQVJo9a22mBAgQIECgTmDIjp2jfWFeSo2xL82NJSsrUsZsTWFyl9I7//fDtE0M36172hgBBAgQIECAQH2BZILo5ZdfHl/60peisrKyfmEDd4899lj84Ac/aKDEIwIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgWwTkFSabStuvgQIECCQ9QKF7fLi8L17pnQor6yJXz8yOWXM1hQ+Pm5evDtzVcomenQpjL0HdUkZo5AAAQIECBCoL7BmzZo4+eST47rrrqtfkOKuY8eOcfDBB6eIUESAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJAtApJKs2WlzZMAAQIECKwncNz+26931/Dbf01aHKOfn91w4VY8nTZ3ddw8ekraFo4duX3k5uakjRNAgAABAgQI/Ftg5syZceCBB8bYsWMzJtlxxx3jpZdeiuOPPz7jOgIJECBAgAABAgQIECBAgAABAgQIECBAgAABAgTaroCk0ra7tmZGgAABAgQ2KbDnwC6RfKW7fvOXKfHPiQvThWVcPmdxWVx+68SoWFeTsk5RQW6cekjflDEKCRAgQIAAgU8EkomhI0aMiLfeeuuTh2neHXTQQTFhwoT41Kc+lSZSMQECBAgQIECAAAECBAgQIECAAAECBAgQIECAQLYISCrNlpU2TwIECBAgsIHAl47daYMnG9/W1Eb89M634+HnZm1cuJlPJn24Ii6+8dVYtqoybc3TDu0XXToUpI0TQIAAAQIECET8+c9/jiOPPDIWLVqUMcd//Md/xDPPPBM9evTIuI5AAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBti8gqbTtr7EZEiBAgACBBgWGDu4WRw7t1WDZ+g+TiaU3j54a379tYixYtnb9oozel1dWx+8fnxbf+s1rsbJ0Xdo6PbsUxjlHp094TduQAAIECBAg0MYFamtr48orr4xkgmhFRUVGs83NzY1rr7027rzzzigo8AWOjNAEESBAgAABAgQIECBAgAABAgQIECBAgAABAgSySCA/i+ZqqgQIECBAgMAGAt84dXBMnLY8lq1Ov3vouHeXxiv/NS4+O6JPnHjgDrFrv04btFb/dtGK8nhywvx45F+zY8Wa9MmkH9W+7PO7R/vCvI9u/SRAgAABAgQaECgtLY1zzz03Ro8e3UBpw49KSkrinnvuiZNOOqnhAE8JECBAgAABAgQIECBAgAABAgQIECBAgAABAgSyXkBSadb/CgAgQIAAgWwW6NaxMH547h7xnf95IxKbnaW9qqpr4/Fx8+pePToXxp4Du0T/XsXRuaRd5ObmROnaqpi3dG28O2NVfDh/Tdr2Ngw4+9M7xvDdum/42D0BAgQIECCwnsDs2bNj1KhRMXHixPWepn7bv3//GDNmTOy9996pA5USIECAAAECBAgQIECAAAECBAgQIECAAAECBAhktYCk0qxefpMnQIAAAQIRw3bpFt8+fde4/qHJm8WxeGVFPPPGws2qkyr48H16xgXHDUwVoowAAQIECGS9wPjx4+Pkk0+OBQsWZGyx//77x6OPPhq9evXKuI5AAgQIECBAgAABAgQIECBAgAABAgQIECBAgACB7BTIzc5pmzUBAgQIECCwvsCog/rGV08YtP6jZn0/Yvfu8YNz9qjb7bRZO9YZAQIECBBoRQL33XdfHH744ZuVUHrWWWfFs88+K6G0Fa2zoRIgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEtqWApNJtqa9vAgQIECDQggTOShw9/53P7RaJU+yb9frMfr3jZ1/eK9rl+2dJs8LrjAABAgRalcADDzwQyQTR8vLyjMadk5MT11xzTdxzzz1RVFSUUR1BBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBGRv+B0gQIAAAQIEPhY48cAd4oaLh0X3TgUfP2uqN/l5OfGNUwbHlYkdSvPz/JOkqZy1S4AAAQJtQ+CEE06IffbZJ6PJFBcXx0MPPRQ/+MEPMooXRIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQOAjARkcH0n4SYAAAQIECNQJ7L1z1/jjFfvHsSP6NJnIkAGd4pb/HB6nH9a/yfrQMAECBAgQaEsCJSUlMWbMmOjdu3fKae2www7x/PPPx2mnnZYyTiEBAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBhgQklTak4hkBAgQIEMhygc4l7eKKs4bEb7+1X4zYrVujafTvWZzYmfTf7e68Q8dGa1dDBAgQIEAgGwT69esXjz766CaPsx8+fHi88sorMWzYsGzgMEcCBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEmEMhvgjY1SYAAAQIECLQRgT127By//NrQmDZ3dTwxfn48/fqCWLFm3WbNriA/Nw781HZxzPA+MXL37pGbm7NZ9QUTIECAAAECnwiMHDky/vCHP8TZZ5/9ycPEuzPPPDPuuOOOaN++fb3nbggQIECAAAECBAgQIECAAAECBAisL7B0ZUW8PWNlzFpYGvOWrI3Va6tibUV1FOTnRHFRfnTvVBj9EpuEDO7bse6V5+866/N5T4AAAQIEskJAUmlWLLNJEiBAgACBrRNI7ip6yakd4+KTB8cH89bEG1OXx4fz18TsRWWxfHVllFVURU1NbbQvzI+OxfnRt0dxDOhVEnsN6hKfSiSmFhbkbd0A1CZAgAABAgQ+FjjrrLPivffei2uuuSZycnLiRz/6Ufy///f/6t5/HOQNAQIECBAgQIAAAQIECBAgQIAAgf8TSP495++vzo/nJi6KWYn3mV4lRXmx367d4+j9esf+Q7pHfp7DcDO1E0eAAAECBFqzgKTS1rx6xk6AAAECBJpZILnL6EffTG3mrnVHgAABAgTatEB5eXmcf/75MXTo0Lj88svTzvWnP/1pzJw5M44//vi6XUrTVhBAgAABAgQIECBAgAABAgQIECCQdQJvfbgi/vz36THh/WVbNPfS8up47s1Fda/unQrizCMHxKgDd4gim4lskadKBAgQIECgtQhIKm0tK2WcBAgQIECAAAECBAgQINAmBRYsWBAnnXRSTJgwIR588MHYbbfdYtSoUSnnmtyh9K677koZo5AAAQIECBAgQIAAAQIECBAgQCA7BRatKI/fjp5alwzaWAJLV1XG7x6dGg89OysuPmVwHL5Pr8ZqWjsECBAgQIBACxOwN3kLWxDDIUCAAAECBAgQIECAAIHsEZg4cWIMHz68LqE0Oeuampo4++yzY9KkSdmDYKYECBAgQIAAAQIECBAgQIAAAQKNJvDsGwvjvGtfbtSE0vUHt3hlRfz4T28nXm9FaXnV+kXeEyBAgAABAm1EQFJpG1lI0yBAgAABAgQIECBAgACB1iUwevToOPjgg2POnDn1Br5mzZo48cQTY9GiRfWeuyFAgAABAgQIECBAgAABAgQIECCwKYHa2tq4efSU+Mmdb0dZRfWmwhrt+T8nLoqv/veEmLO4rNHa1BABAgQIECDQMgQklbaMdTAKAgQIECBAgAABAgQIEMgigWuvvTZOO+20KC0tbXDWs2bNipNPPjkqKioaLPeQAAECBAgQIECAAAECBAgQIECAwEcCVdU1cfVd78TDz83+6FGz/Jy7ZG1cfOOrMWX2qmbpTycECBAgQIBA8whIKm0eZ70QIECAAAECBAgQIECAAIG6JNFzzz03rrzyykjuHpHqGjduXHz5y19OFaKMAAECBAgQIECAAAECBAgQIEAgywWSnzH98v734pnEsffb4lpZui4uu2VizFrY8Jent8WY9EmAAAECBAhsnUD+1lVXmwABAgQIECBAgAABAgQIEMhEIHmcfXL30WSyaKbXP/7xj5gzZ0707ds30yriCBAgQIAAAQIECBAgQIAAAQIEskjgjic+jL+/smCzZ1zYLjd26tMh+nQviuLC/FiX2O10+erKmLGgNBav2LzTc5KJpZffOjFu+86I6FTSbrPHogIBAgQIECDQsgQklbas9TAaAgQIECBAgAABAgQIEGiDApMmTYpRo0bFzJkzM57d3nvvHWPGjJFQmrGYQAIECBAgQIAAAQIECBAgQIBAdgm8Onlp/PkfMzKedH5eTnx6397xmf16x54Du0S7/IYPt52/dG38c+KieHzc3EgecZ/JtWBZeVx777vxsy/vFTk5OZlUEUOAAAECBAi0UAFJpS10YQyLAAECBAgQIECAAAECBNqGwNixY+Oss86KNWvWZDyhk046Ke6+++7o0KFDxnUEEiBAgAABAgQIECBAgAABAgQIZI9AWXlVXHvPu1Fbm9mcP71vr7jwxJ2jR5eitBX6dG8fXzhqQHzuiP7x5Cvz49Yx0yK5G2m6a9w7S+KJ8fPjuP23TxeqnAABAgQIEGjBApJKW/DiGBoBAgQIECDQdgRmLSyNt6aviFkLy2LO4rJYs7YqyiqqI/mt4PYFedGtU0H061kSg7bvEHsP6hIdix0P03ZW30wIEMhmgeuuuy6+973vRU1NTcYMl19+eVx77bWRm9vwThEZNySQAAECBAgQIECAAAECBAgQIECgzQrc8b8fxtJVlWnnV1yYF98/e0gcslfPtLEbBuTl5sRxI7ePA4ZsF1ff9Xa8PnX5hiEb3d86dlocvGeP6FTi7xwb4XhAgAABAgRaiYCk0layUIZJgAABAgQItD6BqXNW132DN3lEzJKVFRlPIHkqzO79O8WnE8fPHDWsd3T2wUvGdgIJECDQUgQqKyvjwgsvjD/96U8ZD6mgoCBuu+22+OIXv5hxHYEECBAgQIAAAQIECBAgQIAAAQLZJ7B4RXmMfn5O2okn/77w3xcNjcF9O6aNTRXQtWNB/PJr+9TtjPr06wtThdbtaPrgP2fFl48flDJOIQECBAgQINByBSSVtty1MTICBAgQIECglQq8NmVZ/Pnv02PitBVbNIPkUTXvzlxV97olcaTMCQdsH184ckBGR9JsUYcqESBAgECjCixZsiROPfXUeP755zNut0ePHjF69Og46KCDMq4jkAABAgQIECBAgAABAgQIECBAIDsFHnh2VlRVpz73vqBdbvziwn22OqH0I+H8vNy6HU9Xl62LCe8v++hxgz9HPz87vnDUgCgpkpLSIJCHBAgQIECghQs4S6+FL5DhESBAgAABAq1HYMGytXHl7W/Gd373xhYnlG4428p1NfGXf82Jc382Lu57ekbiQ6LMj0/esC33BAgQIND0Au+8806MGDFisxJKP/WpT8WECRMklDb98uiBAAECBAgQIECAAAECBAgQINDqBSqrauJ/J8xPO49LTtkldkucitaYVzKx9Ifnfip6dC5M2WxpeXU8k2ZH05QNKCRAgAABAgS2qYCk0m3Kr3MCBAgQIECgrQg89dqCOP8X4+Olt5c0yZTKK2vi1rEfxMU3vhrzl65tkj40SoAAAQJbJ/C3v/0tDjzwwJg+fXrGDR1//PHx0ksvxY477phxHYEECBAgQIAAAQIECBAgQIAAAQLZKzDunSWxZm1VSoC9BnWJEw/cIWXMlhZ2KmkXl5y6S9rqT76SPvE1bSMCCBAgQIAAgW0iIKl0m7DrlAABAgQIEGgrArWJs+pvHj0lrvnzO7G2orrJpzV59ur4yn9PiDemLm/yvnRAgAABApkL3HDDDTFq1KhYtWpVxpX+8z//M8aMGRMdO3bMuI5AAgQIECBAgAABAgQIECBAgACB7BZIJpWmu75y/KB0IVtVfujePWPXfqk/03pnxspYXbZuq/pRmQABAgQIENg2ApJKt427XgkQIECAAIE2IFBdU1uXTPrwc7ObdTbJbyBffssb8fykRc3ar84IECBAYGOBdevWxVe+8pVIJohWV2f25YJ27drF7bffHr/61a8iN9f/Ld9Y1RMCBAgQIECAAAECBAgQIECAAIFNCbw+ZdmmiuqeD+7bMfYc2CVlTGMUnnpov5TNJPbkiInTbJCREkkhAQIECBBooQL+etVCF8awCBAgQIAAgZYv8KsH3o+nX1+4TQa6rro2fnLn2/Famg+PtsngdEqAAIEsEsjJyYkZM2ZkPOPu3bvHU089FRdccEHGdQQSIECAAAECBAgQIECAAAECBAgQSAqsWFMZi1ZUpMQ4cmjPlOWNVXjIXj0iLzcnZXPJ09dcBAgQIECAQOsTyG99QzZiAgQIECBAgMC2F7j7H9Pjb+PnbfZAOhXnx679O8X23dtHSVF+VCWSQ1eUVsashWUxdc7qSO5+mumVrPvDP0yKW/9zePTvVZJpNXEECBAg0IgC+fn58dBDD8X+++8fkydPTtny7rvvHo8//ngMHDgwZZxCAgQIECBAgAABAgQIECBAgAABAg0JzF5U1tDjes+GDu5W776pbooL82O3xN87ksfcb+rKZLybqus5AQIECBAgsO0EJJVuO3s9EyBAgAABAq1U4M3EcS1//NuHGY++sF1ufHZEn7pX8gOW5K52DV1rK6rjpXcWx9iX5iaOhFnRUMhGz5J1fvynt+N//nO/KGyXt1G5BwQIECDQ9AJdunSJsWPHxsiRI2P58oaP9PrsZz8b999/f3Tu3LnpB6QHAgQIECBAgAABAgQIECBAgACBNimwcHl52nnt2Lv5NqEYuH2HlEmlmYw37YQEECBAgAABAs0ukNvsPeqQAAECBAgQINCKBSrWVce1974bmW4oemwimfT+Hx0U3z5jt9h9QOdNJpQmSdoX5sVRw3rHjd/YN264eFhk+sHPh/PXxF1PTm/FqoZOgACB1i8wePDgePjhhyO5c+mG16WXXlq3Q6mE0g1l3BMgQIAAAQIECBAgQIAAAQIECGyOQHKjiVRXh/b5UVTQfBtQbNepINVwoqyiKmW5QgIECBAgQKBlCkgqbZnrYlQECBAgQIBACxW456mZsWBZ+m8CFycSRK+5YK+44qwh0bVj6g9VGprq0MFd47bvjogTDti+oeKNnj3w7KyYtbB0o+ceECBAgEDzCRx55JFx8803f9xhMsH0lltuiZtuuiny8prvw/yPB+ANAQIECBAgQIAAAQIECBAgQIBAmxJIbnyR6ipInJzWnFdBmhPUKtfVNOdw9EWAAAECBAg0kkDz/ouikQatGQIECBAgQIDAthBYWbouHkokb6a7Ohbnx02X7BsH79kjXWjK8oL83PjumbvHeZ/dKWVcsrCqujbutFtpWicBBAgQ2BKB5JH2yeTQTK4LL7wwkjuTdu3aNZ588slI3rsIECBAgAABAgQIECBAgAABAgQINIZAul1Iy9PsZNoYY1i/jfLK1Emu6ca7flveEyBAgAABAi1HQFJpy1kLIyFAgAABAgRauMAj/5oda9N8QJKflxM//8o+Mbhvx0abzXmfHRinHtI3bXvPvrEw5i4pSxsngAABAgQyF5g6dWrsv//+cdFFF2WcWHr99dfHG2+8EcmdS10ECBAgQIAAAQIECBAgQIAAAQIEGkugpCg/ZVNliaTSNWub78j5RctTn+xWXOT0npQLppAAAQIECLRQAUmlLXRhDIsAAQIECBBoWQI1NbXxt5fnpR3U10btHHvs1Dlt3OYGfP3kwbFrv9SJqokhJsY4f3ObFk+AAAECmxB45plnYuTIkTFlypS6iEsuuSSSz9JdyaPuBwwYkC5MOQECBAgQIECAAAECBAgQIECAAIHNEujTvX3a+A/mrk4b01gBU9P01adb+vE21li0Q4AAAQIECDSegKTSxrPUEgECBAgQINCGBd6YtjyWrKxIOcNk0ueph/RLGbOlhfl5ufHdM3ePnJzULfzjVUmlqYWUEiBAIDOB5HH3xxxzTCxfvvzjClVVVXH66adHcvdSFwECBAgQIECAAAECBAgQIECAAIHmFujXszhtl69NWZY2pjECVqypjA/mrUnZVP8MxpuyAYUECBAgQIDANhGQVLpN2HVKgAABAgQItDaBl99dknbIXzp2YOTmpsn6TNvKpgMG9+0Yh+3dc9MBiZJFKyriw/mpP8RJ2YBCAgQIZLlAdXV1fPOb36w77j6ZRLrhlUwyPeGEE2LFihUbFrknQIAAAQIECBAgQIAAAQIECBAg0KQCJUX5kS5R8+nXF0ZtbeJosya+nnkj2U/qTnYf0Pgnu6XuUSkBAgQIECDQGAKSShtDURsECBAgQIBAmxd4Y+onO9U1NNk+3Yti5JDtGipq1GenHNw3bXvpxpq2AQEECBDIUoGVK1fG8ccfH7/+9a9TCkyZMiXOOOOMaCjpNGVFhQQIECBAgAABAgQIECBAgAABAgS2UmDo4K4pW5i7ZG289Hb6jTJSNpKmsLqmNh55bnbKqLzEJhx7DuySMkYhAQIECBAg0DIFJJW2zHUxKgIECBAgQKAFCVRV18T0+aUpR3T4Pr1SljdW4V6DukS3jgUpm5s6Z3XKcoUECBAgsLHABx98EAcccEA8+eSTGxc28OSpp56Ka665poESjwgQIECAAAECBAgQIECAAAECBAg0ncDBe/ZI2/jv//pBJP+20VTX2JfmRjJ5NdW1767don1hXqoQZQQIECBAgEALFZBU2kIXxrAIECBAgACBliMwL/HBSPJbt6mufXZO/c3gVHU3pywnJyeSiaWprlmLUifApqqrjAABAtko8Nxzz8XIkSPjvffey3j6RxxxRFx66aUZxwskQIAAAQIECBAgQIAAAQIECBAg0BgC++7SLbp3Sr35xIwFpXHX32c0RncbtTF/6dr4/ePTNnq+4YNjhvfe8JF7AgQIECBAoJUISCptJQtlmAQIECBAgMC2E1i8siJt5zv1Lkkb01gB6fpavCL9eBtrLNohQIBAaxe4/fbb4+ijj46lS5dmPJWvfOUrdTuaduvWLeM6AgkQIECAAAECBAgQIECAAAECBAg0hkBu4lj5UQf1TdvUn/8+PV54a3HauM0JKCuviqv+OClKy6tTVuuWSHo9ZK+eKWMUEiBAgAABAi1XQFJpy10bIyNAgAABAgRaiEDyQ5J0V/IDkua6unUqTNnV2orUH+akrKyQAAECWSJQU1MT3/nOdyKZILpu3bqMZp2Xlxc33HBD3HbbbdGuXbuM6ggiQIAAAQIECBAgQIAAAQIECBAg0NgCpx7SN4rTHC1fmziA7ad3vh0vvbOkUbpfXbYurrh1YkybuyZte58/YkAU5EtHSQslgAABAgQItFAB/xVvoQtjWAQIECBAgEDLEVhXlfjkJcWVOJE+8vOa759V6T6IqayqSTFaRQQIECCwevXqOPHEE+P666/PGKNTp04xduzY+Na3vpVxHYEECBAgQIAAAQIECBAgQIAAAQIEmkKgY3G7OPczO6ZtOvn3gqv+MCnufWpG1CazTLfw+nDemrj4xlfjrekr07bQp3tRnHTwDmnjBBAgQIAAAQItV6D5sh9aroGRESBAgAABAgRSChRl8G3f8srm2x10bZq+2hfkpZyPQgIECGSzwPTp0+OAAw6Iv/3tbxkzDBw4MMaNGxfHHntsxnUEEiBAgAABAgQIECBAgAABAgQIEGhKgTMO7x8DepWk7aK6pjZue/yD+HoyKfTDFWnj1w9YVboubh07Lb76qwkxa1HZ+kWbfP/N03aNwnb+TrFJIAUECBAgQKAVCOS3gjEaIgECBAgQIEBgmwp0KEr/4cfCZeUxoHf6D28aYyILlq1N2UxJkX/ipQRSSIBA1gq88MILceqpp8bixYszNjjkkEPiL3/5S2y33XYZ1xFIgAABAgQIECBAgAABAgQIECBAoKkFkieoXfUfe8TXb3g1MjnB7L2Zq+KSX78WQ3bsFJ/Zr0+M2K17bL9d+42Gubaiui759Lk3F8Uzry+MdBtdrN/AqAN3iP2H+BxtfRPvCRAgQIBAaxSQcdAaV82YCRAgQIAAgWYV6NN94w9VNhzA1Lmrmy2pdOqc1Rt2X+8+k/HWq+CGAAECWSDwpz/9KS688MKorKzMeLbnn39+3HLLLVFQUJBxHYEECBAgQIAAAQIECBAgQIAAAQIEmktg5x06xjdP3yWuu//9jLt8d8aqSL6SV4f2+dG7W1EUJzarWFdVE8tXV8bC5eVRW5txcx8H7tqvY1x8yuCP770hQIAAAQIEWq9AbusdupETIECAAAECBJpHoEeXomhfmHq30lfeX9osgymvTHxDePrKlH0N6FWcslwhAQIEskmgpqYmrrjiikgmiGaaUJqbmxvXXXdd/PGPf5RQmk2/LOZKgAABAgQIECBAgAABAgQIEGiFAsfvv0Oc99mdtmjka9ZWxbS5a2LSBysiuZPpgsSpbFuSULpDYsfTX1y4j2Pvt2gVVCJAgAABAi1PQFJpy1sTIyJAgAABAhkJlJVXxZKVFYn/g782VpWui6rqmozqCdoygSEDOqes+PykxZFM+Gzq61+TFkXlutRrPWTH1GNt6jFqnwABAi1FYM2aNXHKKafEL3/5y4yH1KFDh3jsscfiu9/9bsZ1BBIgQIAAAQIECBAgQIAAAQIECBDYlgLnfXZgnPuZHbfJEPonNrq44eJh0aWD0362yQLolAABAgQINIFAfhO0qUkCBAgQIECgkQWSyaOvTV4Wb0xbHh/MWxOzF5UmEhjrJxbm5ET06loUA3qVxJ4Du8SwwV1j9wGdIidZ4NpqgWG7dI3XpizbZDtlFdXx+Li5cfph/TcZ0xgFDz47K20zQxNr7yJAgACBiF/84hcxZsyYjCkGDBgQY8eOjT333DPjOgIJECBAgAABAgQIECBAgAABAgQItASBC44bFN07FcZv/jIlqmu24Pz6LZjE3oO6xNVf2is6lbTbgtqqECBAgAABAi1VQFJpS10Z4yJAgACBrBdI/h/+Z99YGE+MnxevT12e9riR5HEkyWNJkq/x7/37KPaeXQrjM8P7xMkH943tOhdmvenWAByyZ4/4/eMfpGziz3+fEcckvDsWN82HJ0++Mr/uGJpUgxiyY6e6D41SxSgjQIBAtgj88Ic/jKeffjrGjRuXdsoHHnhgjB49Onr27Jk2VgABAgQIECBAgAABAgQIECBAgACBliiQ/HvQrv06xk/vejvmLy1vsiHmJvYzOfvoHSO5Q2pe8sZFgAABAgQItCmB3DY1G5MhQIAAAQJtQKA2kR365IT5ce5/jYtr/vxOYnfM9Amlm5r2ohUVcfc/ZsQXfvpiXP/g+7F8deWmQj1PI9A/sQPsbv07pYxaWboubnhocsqYLS1ctKI8fjt6StrqyaRWFwECBAj8W6CwsDAeffTRSO5Amuo699xz45lnnpFQmgpJGQECBAgQIECAAAECBAgQIECAQKsQ2H1A5/jTFfvHOYmkz/y8xk/4HJI4Je/W74yI5M6oEkpbxa+EQRIgQIAAgc0WkFS62WQqECBAgACBphOYubA0Lv31a3Htve/GvKVrG62jddW1MealuXHuz8bFmBfnNFq72dbQqYf2TTvlZxK7y9739My0cZsTsLaiOq76w6RYVVaVslqH9vlx9L69U8YoJECAQLYJJHceHTNmTHTo0GGjqefk5MS1114bd911VyQTUF0ECBAgQIAAAQIECBAgQIAAAQIE2oJAYUFefPn4QXHfVQfGaYf2i6KCrU8N+dROnePar+wdv/v28Bjct2NbYDIHAgQIECBAYBMC+Zt47jEBAgQIECDQzALJ3UlvePj9KK+sabKe16ytiusTO2m+MnlZXPGFIZFMQnRlLnDUsN5xxxMfpj0y5tax0yIv8e3fzx3eP/PGNxGZXLMrb38zJs9evYmITx4nPxgqLrKmn4h4R4AAgX8L7LXXXnHvvffGySefHDU1//7vbElJSdx99911zzgRIECAAAECBAgQIECAAAECBAgQaIsCPboUxSWn7lKXYPqvSYviX28uijc/WBHJvz2kuxLfx46dd+gYI3brHp/Zr3cM6F2SropyAgQIECBAoI0IyDpoIwtpGgQIECDQugV+//i0uOepxt3dMpXI85MWx6yFr8Z1F+0TPRMfKLgyE0ge43LRqMHxozveSlvhd49Ojenz18Slp+4a7Qvz0sY3FDB1zur4yZ1vxZzF6Xet3a5zYZx5xNYnsTY0Ds8IECDQkgUWLVoUPXr0iOSuo6muE088MX7+85/H5ZdfHv369avbvXSfffZJVUUZAQIECBAgQIAAAQIECBAgQIAAgTYhkPw7xTHD+9S9ampqY8aC0pi1qDTmLlkbpYkE0+SJafn5OVFcmB/Jvzf061kcg7bvEB2L27WJ+ZsEAQIECBAgsHkCkko3z0s0AQIECBBodIEbHno/HntxbqO3m67BmQtL4xs3vhq/vnTf6N2tfbpw5f8ncOjePWPk7t1j/HtL05o8MX5+vJbYFfYrJ+wcRw7rFcmk1EyuZasr4r5EkvFfnp8T1YkPdzK5vnHKYLuUZgIlhgCBNiUwYcKEup1GL7jggrj66qvTzu2yyy6L6urqOO+886J3795p4wUQIECAAAECBAgQIECAAAECBAgQaGsCuYm/VQxMJIwmXy4CBAgQIECAQEMCuQ099IwAAQIECBBoHoE//u2DbZJQ+tHsFq2oiMtumRgr1lR+9MjPDAQu/8Lu0bVDQQaREUnj/7r7nTjr6pfi9r9+EJM+XBEVldUb1V26qiL+OXFh/PTOt+PzP3kpHnpudsYJpZ8d0ScO36fXRm16QIAAgbYs8MADD8Rhhx0W8+fPj2uuuabuePtM5vu9731PQmkmUGIIECBAgAABAgQIECBAgAABAgQIECBAgAABAgSyUsBOpVm57CZNgAABAi1B4Lk3F8Vdf5+xWUNpl5cTQ3fpFnsP6hL9E0ePdO1YULf7ZWl5dcxfujYmz14VExI7aCYTGTO9Zi8qi6vvejuu+9rQSH471ZVeoHunwvjRFz+VSMh9I6qqM9tJdOHy8rj7HzPqXskeuncqiJL2+Ykd82pjZem6WJM4XmZLrp136BDfOn3XLamqDgECBFqlQG1tbfzkJz+pe60/geRupYMGDYqRI0eu/9h7AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQ2Q0BS6WZgCSVAgAABAo0lsGDZ2vjlfe9m3FwyAfHzRw6I5I6UHYvbbbLeibFDJJNtJk5bHvc+PTNeeX/ZJmPXL3htSjJ+Rpxz9E7rP/Y+hcDQwV3j+2cPSSTkvpMiatNFS1dVRvK1NVef7kXxiwv3iaKCvK1pRl0CBAi0GoG1a9fWHV3/4IMPbjTm8vLyOOmkk+KVV16Jfv36bVTuAQECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC6QUklaY3EkGAAAECBBpd4KaHJ0dyd9FMrjMO6xdfOm5QtC/MLHEwJyexm+ngbnWv8e8uieseeD+WrEy/c+md/zu97gj1vj2KMxmWmITAUcN6R01NxM/vfTfjo+obCy65U+11Fw1N7Hha2FhNaocAAQItWmDevHl1SaOvvvrqJse5cOHCOPHEE+PFF1+MkpKSTcYpIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgYYHchh97SoAAAQIECDSVwMuJRM9x7y5N23xhu9z42Zf3iotP2SXjhNINGx05ZLu4/bIRsedOnTcs2uh+XeIY9ptHT9nouQepBY7er3f8/Kt7J3aQbb7v6uyzc5f4zTf3i15di1IPTikBAgTaiMBrr70WI0aMiFQJpR9N9c0334xzzjmnbufuj575SYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAZgKSSjNzEkWAAAECBBpN4M4np6dtqyCRUJrchfLAT/VIG5suoEuHgvjvRFvJRMR018uJZNfJs1elC1O+gcDw3brHHy4bGXsOTG+8QdXNus3LzYkvHrNT/Orrw6JzSbvNqiuYAAECrVXg4YcfjkMPPTTmzp2b8RTatWsXlZWVGccLJECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEDg3wKSSv0mECBAgACBZhR4c9ryeG9m+qTNK88eEns1YoJiYUFeXHPB3rHDdu3Tzvb+Z2amjRGwsUDPxK6hv75kWFz++d2bJOFz70Fd4veJXWfPP3ZgJJNLXQQIEMgGgWuuuSY+97nPRVlZWcbTveqqq+KBBx6IwsLCjOsIJECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEDg3wLNd04rcQIECBAgQCD+d8L8tArHjugTh+/TK23c5gZ0aJ8fPzx3j/j6ja8mjgTedO0XJi2O1WXrEse52wlz00oNl+Tk5MRx+28fRw7rFWNemhuPPDc7Fi4vbzg4w6f77tI1zv70jjFsl24Z1hBGgACB1i9QXl4eF1xwQdx7770ZT6aoqCjuuOOO+PznP59xHYEECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECNQXkFRa38MdAQIECBBoMoGq6pr455uLUrbfvjAvLhy1c8qYrSncfUDnOG7k9vHXl+dtspl11bXxfCKxNJkc6doygaLEzrCfO7x/nHFYv5g4bUX8c+LCeH3q8pi9KP1Oe+3ycmKPnTrH8N26x1GJ5NTe3dLvLrtlo1SLAAECLVNgwYIFcfLJJ8f48eMzHmDv3r3jscceixEjRmRcRyABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAhsLSCrd2MQTAgQIECDQJALvJo69X1tRnbLtkw7qG106FKSM2drCc47eMf42fl7K3Upfm7JMUunWQifqJ3cuHTq4a90r2dyKNZUxa2FpzFmyNtaUVSV+H6oiL5FE2r4wP7p3Koh+PYsTr5IoyM9thN41QYAAgdYnMHHixBg1alTMnj0748EPHTo0xowZE3379s24jkACBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBBoWkFTasIunBAgQIECg0QXenLY8bZvHN8PuoH26t49hiUTH16ZsejxvZDDWtJMRsJFAMmE4+dprUNeNyjwgQIBAtgs8+uijcc4550Rp6f9n7z7Aq6jSBo6/pPcQQkIIhN57b4qiothAUFgLKlhW+RTbuuzquvZd+6rrWlaUxYoKqCBWBEV67z1AICEkJEB6L3znXDcuJXdmbnLvzc3N/zzPNcnMmXPO/G4Mycw771tgmWLcuHHy4YcfSmhoqOVj6IgAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAvYFSINl34Y9CCCAAAIIOFXgYLpxkMyvWSpDnDqnvcGGdY+xt8u2/URuqeQVlhn2YScCCCCAAALOEnjuuefk6quvdiig9OGHH5bPP/+cgFJnvQmMgwACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggIASIFMp3wYIIIAAAgi4SSA5o9Bwph5tIg33O3Nn97bmc6Wo9XZz45qceX6MhQACCCBQPwRKSkrkjjvukA8++MDyggMDA+Xdd9+1ZTW1fBAdEUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAkgBBpZaY6IQAAggggEDtBXLySw0HaRnrniylehE6K6pZyy4gU6mZEfsRQAABBGoukJGRIbp8/cqVKy0PEhsbK/PmzZOhQ4daPoaOCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCBgXYCgUutW9EQAAQQQQKBWAoUlFYbHR4T4G+535s7QID/x9WkkFZUn7Q5bWFxudx87EEAAAQQQqI1AamqqnHPOOXLo0CHLw/Tq1UsWLFggrVq1snwMHRFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAwDEBH8e60xsBBBBAAAEEEEAAAQQQQACB2gnEx8dLnz59LA8yZswYWbFiBQGllsXoiAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEDNBAgqrZkbRyGAAAIIIOCwQHCgr+ExeYXuKzdfWFJumKVULzREZTOlIYAAAggg4AqBRo0ayccffyy9e/c2HX7atGny5ZdfSlhYmGlfOiCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQO0ECCqtnR9HI4AAAgggYFkgMtS4vH3qsSLLY9W2Y2qm+VyRIcbrre0aOB4BBBBAoGELhIaG2srZN2vWrFqIgIAAmTlzprzwwgvi48OfrtUisREBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABJwtwZ87JoAyHAAIIIICAPYGWMSH2dtm27ziYY7jfmTutzNUy1ni9zlwPYyGAAAIINEyBhIQEmT9/vgQFBZ0GEBMTI4sXL5bJkyeftp0vEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAtQLUtXWtL6MjgAACCCDwm0DbuFBZ8ttXZ39yML1A0o4XSfPo4LN3OnnLyh3HDEeMCgsQs8yqhgOwEwEEEEAAAYsCgwcPlhkzZsjEiRNtR3Tv3t2WwbRt27YWR6AbAggggAACCCCAAAIIIIAAAggggICnCJw8eVKS1P2Og2kFkpJZKDkFpVJUXGFbXnCQr7r3ECCtVFKL1uqeib5v0qhRI09ZOutAAAEEEEAAAQQQ+K8AQaV8KyCAAAII1ErgWE6JpGQUSEZWiRSVVkhpWaUEBfhIaLCfxKvgyITYUAlTn9NEerWPUgxJhhTfrjkit13e3rBPbXdmZBXL+t3HDYfp3aGx4X52IoAAAgggYCbw/fffy7fffiuvvfaaWVe54YYbZNeuXbJx40b59NNPJTw83PQYOiCAAAIIIIAAAggggAACCCCAAAIIeIZAWXmlrN55TBZvPCob956Q3MJySwvTyS36dYqSC/s2k6Hdm4qfL4VWLcHRCQEEEEAAAQQQcLEAUT4uBmZ4BBBAwNsECkvKZdnWTFmz87hsSsySrPxS01Ns3SxU+nWMkuG9YqRPhyjx8WmYT512bxtpC7gtLq20a/blssNy7QWtXRqIO2vxIak8aXcJth39OzUx7sBeBBBAAAEEDAR0IOkf/vAHqaioEF3iftq0aQa9f9311FNPic5k4ePDzQNTLDoggAACCCCAAAIIIIAAAggggAACHiCQX1QuXy5Lkbm/pKiMpGUOr0gf8/OmDFNeR2wAAEAASURBVNtLB5hOGJEgY89NcOk9EocXyQEIIIAAAggggEADFCCotAG+6ZwyAgggUBOBw6pEyScqGHHxxnQxCoqsbuxDRwtEv75cflhiGgfKuHNbqosCLSUkqGH9MxTg5yPDe8bKjxvSq2OybdMXYN79Zr/cP76z3T612bH/SJ4sWJlqOISvCvo9r3esYR92IoAAAgggUJ1AWVmZTJ06VaZPn/7b7oceeki6dOkio0eP/m1bdZ/oUmeUO6tOhm0IIIAAAggggAACCCCAAAIIIICAZwlUqswV36w+ItO/3id5FrOSmp2BDjB995sD8tnPyXLHlR3kyqHxXCsyQ2M/AggggAACCCDgIgFSwLgIlmERQAABbxHIVplIX/hkl9z8zCrbBQJHA0rPdMjMLlEXGfbL755cIZ+rJ1crzFJmnjlAPf961KDmpmcwTwXfrtpxzLSfox2KSirkqfd3mJrrEjP6iWAaAggggAACjgicOHFCRo0adVpAqT6+srLSVt5+69atjgxHXwQQQAABBBBAAAEEEEAAAQQQQAABDxTIyC6W+17fKP+YvdtpAaWnnqYOUtVj6zky1Vw0BBBAAAEEEEAAAfcLEFTqfnNmRAABBOqNwJLNR+UmFUz67ZojpuXSHT0pnZHzX1/ulTv/sdaWxdTR4+tr/wGdm0iHFmGmy3/qg+2yJyXXtJ/VDuUVlfL4e9ssWV9/YWurw9IPAQQQQAABm8CePXtk8ODB8vPPP1crkp+fL2PGjJGMjIxq97MRAQQQQAABBBBAAAEEEEAAAQQQQMDzBTYlZsntL6yRbQeyXb7Yrfuz5fYX18qWfVkun4sJEEAAAQQQQAABBE4XIKj0dA++QgABBBBQAjoA8dW5e+SJ97a75CnTU5H3pebbAksXb7RfEv7U/t7w+aRRbU1PQ2cV/cMbG2VT4gnTvmYdCorL5aHpW2TtruNmXaV/pyjp3jbStB8dEEAAAQQQqBL48ccfZciQIbJv376qTdV+PHTokIwdO1ZKSkqq3c9GBBBAAAEEEEAAAQQQQAABBBBAAAHPFVi6JUP+9O9NkuukcvdWzjSnoEym/XuzLNvKg8pWvOiDAAIIIIAAAgg4S4CgUmdJMg4CCCDgJQIlpRXy6Iytokuwu6sVl1bK0x/skNk/J7tryjqdZ3ivWFvwptkiCoor5ME3N8nM7w5IWXmlWfdq929VTwv/Xj3Ju36PeXCqr08jmTquU7XjsBEBBBBAAIHqBN544w257LLLJDvbWnaKVatWyZw5c6obim0IIIAAAggggAACCCCAAAIIIIAAAh4qsGbnMXny/e1SVnHS7SssVfdHdBKUNRYSZ7h9cUyIAAIIIIAAAgh4qQBBpV76xnJaCCCAQE0EdIbSR1RA6aqd5hktazK+2TFvzk+Uz34+ZNbNK/Y/MKGLBAWY/zNcqa7PvP9Dkkx6drV8u/qI6KBfK21PSq66yLJN7n1tgxw5XmTlELn+otbStnmYpb50QgABBBBo2ALl5eVy9913y9SpU6Wiwtq/TX5+fvLWW2/JjTfe2LDxOHsEEEAAAQQQQAABBBBAAAEEEECgHgkkHs6Tx2Zukwp9w8LBFh7iJ11bR8igLk1sL/253uZo03M/PnOr6LXQEEAAAQQQQAABBFwv4PhvbK5fEzMggAACCNSRwHOzdlrKaFnd8lSSS3UhwF8C/H1El27PLyqvrpvptrfm75PoiEAZ2T/OtG997tAyJkR0YOmzH++0dBo6MPSFT3fJ61/ulcHdoqV3+yhp3SxEIsMCxE/h6xL3us+e5DxZu/u4HEwvsDRuVacequT95EvbVn3JRwQQQAABBOwK6KykEyZMkEWLFtntc+aOqKgoW4bSiy666MxdfI0AAggggAACCCCAAAIIIIAAAggg4KEC+t6DTmBRUma9mlrrZqFy+ZDmMrRbU2mlPq+uJR8tkJU7jsm3a45I8tHC6rqctU1XvdNreeePgyQkiDCHs4DYgAACCCCAAAIIOFGA37aciMlQCCCAQH0W+GJZiizacNShU+ipAhFH9GkmfTtGSUJsiPj7/S/zpr7QoJ8Y1WXXF21Il/QTxZbHflEFT3ZoESZt4rw7a+aogc1lnzKa80uKZZtCFbD786YM28vyQSYd45oEyZOTe4qf7//eP5ND2I0AAggg0EAFEhMTZfTo0bJnzx7LAp06dZIFCxaI/kjzTIGSwjwpLco3XFxIRLT4+gcY9mEnAggggAACCCCAAAIIIIAAAgh4l8Cb8xIl9Zi1amj6XsNdV3WU4b1ipFEjlYnEoOlgU/269oJWsnRrprylKtlZuY+k16Kr3v3x2q4Go7MLAQQQQAABBBBAoLYCBJXWVpDjEUAAAS8QOJieL2+pCwNW21CVKfO2K9qrwM9wu4eEqqdE+3SIsr1uvayduiiQIe98vd/SxQf9xOuT72+3PW3q7YGOd43tKDkFZbJwfbpdS1fuiFKZTl+c0leiIwNdOQ1jI4AAAgh4gcBPP/1ky1B64sQJy2ejM5POmTNHdKZSmucKLJ/1oqz98k3DBd74/AJJ6DHUsA87EUAAAQQQQAABBBBAAAEEEEDAewR2JOXIN6uPWDqhUQPjbNXZggJ8LfWv6qSDT8/vHSuDukTLK3N3y8J15vdKvl51RC4fHC/d2kRWDcNHBBBAAAEEEEAAAScLEFTqZFCGQwABBOqjwKtz90hZxUnTpYcG+cq067raspOadj6lg48qz64zmg7rESMzvtkvn/2cfMre6j9NSiuQuSqD53UXtq6+g5ds1RdMHrqhm61Uy7zlh916Vs2jg+Sl/+srLZqGuHVeJmt4AuUVlbLzUK4cOJIvyRkFciK3VHTW3Qq1PTjQT8KD/aRFTLDoskg92jaWqHAy4TW87xLO2NMF3n77bZk6daqUl5dbXuqUKVPkX//6l/j58WenZTQ6IoAAAggggAACCCCAAAIIIIAAAh4i8PbX+yytRCcWuXlUW0t97XUKDvSVv0zsLi2ig2Xm90n2uv22fbpa26tT+//2NZ8ggAACCCCAAAIIOFeAu3vO9WQ0BBBAoN4JLFMZRDfvyzZdd2zjQFsAoi5HUtMW4Ocj/6dKn+gMp8/N2ikVlcaBrO//kCRXDImX8BD/mk5ZL47TQbf3j++sSr2EiC4lU24hwLe2J9a/UxN59Obu0lhlKqUh4AqBktIKWb49U35UWXg3JWaJzkBstbWNC1WB6LFy8YDmEt802Oph9EMAARcIVFRUyIMPPij//Oc/LY/u6+srr7zyitxzzz2Wj6EjAggggAACCCCAAAIIIIAAAggggIDnCGw9kC1b95vfO7r+ota1Dig99awnXdpOitS15U9/Mk5Oou9rbU/KtiUpOPV4PkcAAQQQQAABBBBwjgBBpc5xZBQEEECg3gp89ONB07XrEumvTO3ntIyWFw+IE5WgU/724Q7DuYtUJsPPl6bIZHURoSG0q4cnSA9VruWFT3fJvtR8l5xyoL+PzfPaC1qJDmalIeBsgbzCMvli2WH5/JdkyS20ntHw1HUkpRdIknoaXT+Rfm7PGLnx4jbSpVXEqV34HAEE3CCQm5sr1157rXz//feWZ4uMjJTZs2fLJZdcYvkYOnqWQMfWcdK/Wxvboub/vFGKiks9a4GsBgEEEEAAAQQQQAABBBBAAAEEXC4w30JltX4do+T3V7R3+lruuLKD7EnJsyUrMBpcV3/Tla9oCCCAAAIIIIAAAs4X8HH+kIyIAAIIIFBfBPRTnPoPc6Om4w6fmNzDaQGlVXON7B8nN6gnWM2aviigS2c3lNYpIULefnCQ3HtNJ2kS4bwsovp9vKhfM/ngL0NFPzlMQGlD+Y5y33mePHlSvl1zRG78+yqZ+d2BGgeUnrni5dsyZcrL6+SZj3dIVh6BTWf68DUCrhI4cOCADBkyxKGA0vbt28vq1asJKHXVm+KmcfUjJz4+PrYXj5+4CZ1pEEAAAQQQQAABBBBAAAEEEPAggcLiclmmrssatQCVwGLadV1dcq9B37+Ydm1X0dXvjNqyrZlSWFKzxAZG47IPAQQQQAABBBBAQN0rAgEBBBBAoOEK/LAu3fTkrz4vQXp3iDLtV5MOt17eTlo3CzU8NDu/TNbtPmHYx9t2+qoLJjpr6aePnSN/mNBZOieE1/gUI0P91VgtbcGkj97cQ5pFBdV4LA5EwJ5Adn6pTPv3Znnhk12SU1Bmr1utti9UP68mPbtKVu04VqtxOBgBBMwFli5dKoMGDZJdu3aZd/5vjxEjRsiaNWukS5culo+hIwIIIIAAAggggAACCCCAAAIIIICA5wls2HtCSsuMk31cNayFNI8Odtni45sGy2g1h1ErUWvcsKdh3T8y8mAfAggggAACCCDgTAE/Zw7GWAgggAAC9UdAZxVcuiXDcMGhQb4uLT3v5+sjd47pIH95Z4vhOvQ6h3ZvatjHG3fqp3DHnNPS9krJKJR1e47byr3sT82X9BNFUnny7LOOCPGzBer2aNdY+neKkj4qIFg70xBwlUDi4Tx5aPpmOZ7r+iyiuYXl8rD6eTFpVFu55bJ2rjolxkWgwQvMnTtXjh8/btnh9ttvlzfffFP8/f0tH0NHBBBAAAEEEEAAAQQQQAABBBBAAAHPFNi4N8t0YTohiavb+PMT5POlKYbTbNqXJcN7xRr2YScCCCCAAAIIIICA4wIElTpuxhEIIICAVwgkpRWYZhS8cmgLCQt27T8Vw1SwaKvYEElWQZP22sZE8wsY9o71lu0Jyki/dAZT3crKK0VnhywsqZCKipMSHOhre6/CQwjo8Zb3vD6cxyb1/+Yj726xfR+6c73v/5CkglhL5MHfdZFGjSjO7E575moYAi+//LItS+miRYsMT1iXSH/ppZfkgQceMOzHTgQQQAABBBBAAAEEEEAAAQQQQACB+iOwKznXcLHd20S6NEtp1eQ6E2q31hGy85D99ew22Fc1Dh8RQAABBBBAAAEEHBcgdZnjZhyBAAIIeIXA9qRs0/O4ZGCcaR9ndLh4gPE8R7OK5VhOiTOm8pox/FUW05jGQbaspO3iw2wXcAgo9Zq3t16cyG51YVFnGdaBzXXRvl51RF7/MrEupmZOBLxewM/PT+bMmSOdOnWye64RERGyYMECAkrtCrEDAQQQQAABBBBAAAEEEEAAAQQQqJ8CKRkFhgvXVdLc1fp3bmI4lVHCEsMD2YkAAggggAACCCBgKODa9HOGU7MTAQQQQKAuBXQ5daPWJDxA2seHG3Vx2r6BXaJlxrcHDMdLPlogTSMDDfuwEwEE3COQoQK9//z2ZikqdTygNF49Xd66WYg0DgsQX99GUlBcLkeOFYnOnlyqMvA60nTpo7gmQTJhRCtHDqMvAghYEGjcuLF8/fXXMnjwYMnKOj1jeNu2bW0Bpd27d7cwEl0QQAABBBBAAAEEEEAAAQQQQAABBOqLQF5hmbpma3zdt30L99w70mbtVVINo5ZfVG67xhwaRNiDkRP7EEDAcwR0Jcqt+7MlKb1ADqv79TkFv1am1CsMUZUpI0L9VfXKUGkTFyq92ze23U/znNWzEgQQaEgC/HbVkN5tzhUBBBA4RSD1eNEpX539aceW7rso0KFFmPioCtaVJ89eR9WWVBV01s9+wrSqbnxEAAEXC5RXVMpTH2xXf+SWWZ6pbfNQGT2shZzXK9ZucLgOKN2cmCU/rEuTJZszpMLoB8IpM//7q32iyy11Uy8aAgg4V6Bjx44yd+5cGTVqlJSXl9sGP/fcc+XLL7+Upk2bOncyRkMAAQQQQAABBBBAAAEEEEAAAQQQqHMBK5WpYtyYACQmMsjURCcuIKjUlIkOCCBQhwKZ2cWyaEO6LN54VPal5ju0Eh1cf1G/ZqIrf+oqljQEEEDAXQIElbpLmnkQQAABDxPQT28aNZ39z13Nz9fHFmiWkW2/xL2+KEBDAIG6F5j9c7JsT8qxtJCYxoFy99iOcn7vWGnUSEWOG7QAPx8Z1DXa9rr9iiJ5Y16iLN+WaXDEr7t08OkzH++QmX8eIv5qDBoCCFgT+OGHH2TkyJEqY7Cv4QEXXnihvP766zJlyhSZPHmyvP322xIQEGB4DDsRQAABBBBAAAEEEEAAAQQQQAABBOqnQLGF6lRBAcbXk5x55kGB5td8S0odq4DlzPUxFgIIIGAkoCtxfrTooCzecNRyMpUzx9t/JF/0S1f91MGlEy9uoyoChp7Zja8RQAABpwuY/xbm9CkZEAEEEEDAEwSKSozLl4S4uVSI2Xxm6/UEU9aAgLcL6LL3HyxMsnSaw3vF2AI9R/RpZhpQeuaAzaOD5W+39ZKHJ3aTAH/zX1cPZxbJpz8dOnMYvkYAgWoETp48KQ899JBceuml8oc//KGaHmdvuvPOO2XRokUyc+ZMAkrP5mELAggggAACCCCAAAIIIIAAAggg4DUCVgJGS8qM7y85E6PYQsBooIVryM5cE2MhgAACZgKFJeXypkqecsvza2ThuvQaB5SeOo9OsrJwfbrcqsZ8Y95eKSQh06k8fI4AAi4QML9L74JJGRIBBBBAoO4F/P2MswaWq1LU7mxlJvOZrdeda2UuBBqqgA4otXIRb9y5LeWpW3pKWHDtkuKPGthc/vF/fSUk0PzJ908WH5K8wrKG+tZw3ghYEigoKJBx48bJ888/b+v/2muv2TKPWjn4oosustKNPggggAACCCCAAAIIIIAAAggggAAC9VjAyrXYTIOqc84+9WM59ivcVc1llrSkqh8fEUAAAXcI7E7OldteWCOzlyQ7JZj0zDXr4NI5S1LkVjWHnouGAAIIuEqAoFJXyTIuAggg4OECIYHGwV4n8krdegZZJvMFm6zXrYtlMgQaoIC+ePf92jTTMx/Zv5nce00nh7OT2hu4Z7vGtqylvj7GgfCFKvvyl8sO2xuG7Qg0eIGUlBQ555xzZP78+adZTJ06VX766afTtvEFAggggAACCCCAAAIIIIAAAggggEDDFAgP8Zdgk4f8D6Tluw1Hl3w2aqFBvrVObmA0PvsQQAABRwR+UPfRpv5zvaQdL3bksBr1TT9RbJvLyr27Gk3AQQgg0OAFCCpt8N8CACCAQEMVaBoZaHjqB9MLDPc7c2dGdrHogDCjFmOyXqNj2YcAArUX+G7NESmvOGk4UKtmIfLHa7s6LaC0arJ+nZrIrZe3q/rS7sevV6WKLu1NQwCB0wVWr14tAwcOlC1btpy+Q31VXl4u48ePl8TExLP2sQEBBBBAAAEEEEAAAQQQQAABBBBAoOEJtIoNMTzpjYlZhvuduXPT3hOGwyXEhhruZycCCCDgLoHZPyfLs7N2mt5Lc+Z69H2759Scn/50yJnDMhYCCCBgEyColG8EBBBAoIEKmF0U0E+auquU9JZ92abvQoLJRQzTAeiAAAK1Eli4Pt30+D/+rosEBZiXqjcdqJoO113YWto1D6tmz/82ZaiyS5st/Dz53xF8hoD3C8yaNUsuuOACOXr0qN2TzcrKktGjR0t2tvm/x3YHYQcCCCCAAAIIIIAAAggggAACCCCAgFcIdGkVYXge2w5ki04W4uqWkVUs25JyDKcxW6vhwexEAAEEnCSwYGWqvDm/7hI3/PurfTJ/BdX8nPR2MgwCCPxXwLj2MUwIIIAAAl4r0KFFuOG56WR/S7dmyBVDWhj2c8bOJZvtB7ro8QP9fYSgUmdIu3eM8opK2ZuSJwePFsjhjELJLSyTwuIKlcVSbOVzGocF2N7XtnGh0l59P5qVN3fv6pntVIHUY4WSot5Dozaoa7T0ah9l1KVW+/T3x20qW+kjM7YajrNqxzHp29F16zCcnJ0IeJCAztr72GOPyd/+9jdLq9qzZ49ce+218sMPP1jqTycEEEAAAQQQQAABBBBAAAEEEEAAAe8U0NdX569ItXty+v7RF0sPy5QxHez2ccaOL5almA7DtWBTIjoggICLBdbuOi4vz9nt8Cz+vo2kY8twaakSK4UH+9uOzysqs91TTTycJ2Um1QPPnPDVuXskrkmwDFb362gIIICAMwQIKnWGImMggAAC9VCgZ7vGtiC+ikr7paLnL091eVDpUfWk6eqdxw0F9Vr9fEmubYjkITuLSipswcg/bTwqW/dnS1FphaWVhQX7SZ8OUTKyfzMZ1iNGAvx4vy3BuanTxr3m5YyuGd7S5asZ1qOp+oM4SNJP2H8KfmOicTkkly+SCRDwAIHCwkK5+eab5fPPP7e8mtDQUJkyZYrl/nREAAEEEEAAAQQQQAABBBBAAAEEEPBOgf6dmogOdjIKaJq3PEWuPq+lxDYOcgmCzlI6b/lhw7H1fQS9VhoCCCBQVwLHckrk7x/tEB1sb7Xpe11XDomX/p2bqMRK1Vf/KymrkA17Tsg3q4/Iiu3HLA2t1/CMWsu70wZJjIt+NltaCJ0QQMBrBAgq9Zq3khNBAAEEHBMIDvRVWQUby6ZE+8Fie9VTUMtUttLhvWIdG9yB3u9/nyRGga16KJ0BkebZAifySmT2zym20go6sNTRll9ULsu3ZdpeESF+cs15CeqCVIKEh/z6ZJ6j49HfuQL6Z4FR00HBA7q4/v/TRirN7Yg+sfLpT8l2l5OUViA6Sy6B6HaJ2OHlAqmpqTJmzBjZuHGj5TNt2bKlfPXVV9K3b1/Lx9ARAQQQQAABBBBAAAEEEEAAAU8S0BU79IPIyaraTqYqy12orlGWllVKcICvhAT5Snx0sLRqFipR4QGetOx6s5bs/FLZvC9LEg/nq4pGBaKDaLRxWbkyVvca9PXB+OgQW2WqHm0jpWvrCK7P1Zt39+yF6uvy5/SMkSWbM87e+d8txaWV8o/Pdstzd/RW1clUeTInNv3/80uzd4uew6id07Op7XvPqA/7EEAAAVcK/EP9rMopKLM0hU6idP/4TtI+3riaqB5MB5vqJDz6deBIvrz6+R5bMh+zifRaXlZrevaOPmZd2Y8AAgiYChBUakpEBwQQQMB7BS4eEGcYVKrP/PUvE1Up6SYu+cN8i7oI9e2aI4bAquK1XNSvmWEfdtadgA7em7MkWd7/Icn0Ao/VVeYWlstMFWw855cUuePK9nLl0Bbio78RaHUmoC8UGzUdoK7L07uj6Z9HRkGlOkg99ViRtFY3CWgINDSBdevWyVVXXSVpaWmWT33QoEEyf/58iYuLs3wMHRFAAAEEEEAAAQQQQAABBBDwBAH9oPovW47aKmHpgMc8dV3RrOkqOP3U9aXhvWJkYJcmBD4agOlA0sUbjsrC9WmyJ8X4oXM9zOZ92b+NpoN5dSa2SwY2l4EqExvXd3+jqTefjBnWwjCoVJ/IGlXy+YOFB2XSqLZOPS99v0GXkzZrY4a5vnqW2RrYjwACDVdg5Y5jskq9rLTbr2gnE0e2qVEQfrv4MPnn1H7y8aJDMuPb/aZZUVepCqErVCIf/XAADQEEEKiNAEGltdHjWAQQQKCeC4zoHStvzksUffHNXtPl6Z+btVOeuqWnUy/8HFdPMj/94Q570/62fWj3phIdEfjb13ziOQIp6qn/J9/fJvtS812yKP19+fKcPfKjunD52M3dKdXgEmVrg+qfA0atXfMwo91O3de2uXmwqM5GQVCpU9kZrB4IzJ49WyZPnixFRUWWV3vdddfJzJkzJSjINWXKLC+EjggggAACCCCAAAIIIIAAAgg4IHDoaIHMWnRQft6UIaUqU6YjTWcz1YkO9KtxmL+MOaeljFcVkyJCqZhU5aiv3c9afEi+XpUqJSrba01aUWmFLN541PZKiA2RG1UgjU5yQXBpTTTr5ph+qqx8N5VxduehXMMFzPzugISobLUTRrQy7Gd15+yfk+U9lXTCrHVvE6kSokSZdWM/Aggg4BIBnVH53a/3m46t87H85cbuMrJ/7ZI66IzQN17cRppHB8nf1f11lV/FsL2rgk/1wx3OziRtOCk7EUDA6wR8vO6MOCEEEEAAAcsCIUF+Mm64+ZOcuiz5y3N2S6XZb6gWZ9ZPOE/792ZbiRyzQ/QvyDTPE9BPuN3x0lqXBZSeesbbDmTL7S+uFZ3ZllY3AoXFFYYTN410X+C3lSDzApP1Gp4MOxGoZwL64tWTTz4pOkDUakCpvpD0xBNPyCeffEJAaT17v1kuAggggAACCCCAAAIIINCQBbLySuXZj3fI5OdWyw/r0h0OKD3TLju/TD5QGRGvfXKFyv51UHRVpobcdAWg2aoq1Y3PrJLPl6bUOKD0TEOdnOBZlbhiysvrZHeycYDimcfydd0K3DG6g6UFvKGSl7w6d4+UORjkfergOkD8FXUf6s35iadutvv5naPb293HDgQQQMDVAjpD6YE086Q7943vXOuA0lPP5aJ+cXK/GtOsJaUVyMrt1rKomo3FfgQQaLgCBJU23PeeM0cAAQRsAhPObyURIX6mGl+vOiJPvLdNCovtZzU1HUR10L9g3/3qeku/aOsspV1bR1oZlj5uFPh29RF59D9bRT9t7q6WU1BmC0TWAc409wuUmmQkCPBz36+UvuqxTj9f9WinQTNbr8Gh7EKgXgnoINLrr7/eFiCqg0uttODgYPnss8/k8ccft9KdPggggAACCCCAAAIIIIAAAgh4hMDijelykwp21MGkFv8EtrxufZ3zHZVt7NYX1qiH6M3LvFseuB51zFCVf+7/1wZbZbOiEtdc9917OE/uemWdfLgwSb2H1q5j1CNCr1xqnw5RcrHF7Hrzlh+W215cI+t2m5etPxNLl7q/Xf3/N39F6pm7qv36koFx0qs9WUqrxWEjAgi4RWCBum9u1kb2byZXqYzozm46y7qVn80LVMZxGgIIIFAbAfMootqMzrEIIIAAAh4voMv66KdNX/pst+lal27NlMTUNXLfNZ1lSLempv1P7aCfUJ2jnnJ+Tz35bSXgK8DfR+69utOpQ/C5Bwgs2pAuL3y6q05Wop9UfnzmNnn+zt4yoHN0nayhoU4aFOBrGETszgBjnTGivML4onNQgPuCXBvq9wTnXfcCaWlpctVVV8m6dessLyY+Pl7mz58vAwYMsHwMHT1P4Ic3/yQ7lsx16sLKS4pNx/vs8evEx9fXtJ8jHcZMe1s6DLzYkUPoiwACCCCAAAIIIIAAAg1MQF8Leu3zvfLVStcHRiQfLVRBj+ttGcAuHxLfYKR3HsyRh9/ZIvrBflc3XQxtxrcHbCXVn5jUQwLVdUeaZwvce00n2bI/SzKyS0wXqv8f0lXqOieEyxXq/yGdOCSmcVC1x2WqQOaVKtOfTmKxJ8V6MHezqCC5Zxz3jqpFZSMCCLhFQFfk1MHwRi0s2E+muvBn1VR1D331rmOSV2g/GdS63SdEr7VxWIDRUtmHAAII2BUgqNQuDTsQQACBhiOg/7hfsjlD1u85YXrSaceL5aHpW6R7m0gZN7ylnNMjRoID7V/40U84L1qfLl8sO2yp3H3VAu68soM0jw6u+pKPHiCgy88/+/HOGq0kRpVHbxETIuEqK65+CD23sEwOq7JHJ1TJKkeaLsH06Ixt8sb9A6RdfJgjh9K3FgIhQb6SZVDFIyPLPBipFtOfdmhGlvnFy9AgfsU9DY0vvE5g48aNMmbMGElNtX5DrX///raA0hYtWnidR0M7obKSQikpcH+5wLLiAqdTV5Y79nuA0xfAgAgggAACCCCAAAIIIODRAsUqg6h+yHyNSeCGM09CP9iuH6rXAW+TLm3nzKE9cix9T+CvM7ZIcWmlW9enywb/4c1N8sKUPsK1PLfSOzxZeIi/PD65py2TbZnJw/5Vg+sg0T0pe0Tm7JHYxoHS0nZvwN+2O0/dG0jJLFT/j5lf560ar+qjrpj1xOQe6j7Dr2NVbecjAq4QyFL3r/T3aq4KuC8sKRefRo0kWAXC6wC9hNgQ0Ul7aA1TQP/bqe9XGrUJI1q5NJgzUn3/6Wqk//nugN1l6DXqwNKLB8TZ7cMOBBBAwEiAO+5GOuxDAAEEGohAI/WH0F9v6i63qfIix3Ot3dzfoZ5e1i9dhrpLqwhpExcqTSICRf9Rr8vjHM0qEl3ORj+Z6mgb3itGrjk/wdHD6O9CAf0k21MfbDf9I+nUJejvi8sHN5ch6mnkWDtPI6cdL5IV2zPlG/U0clKatWAVnRXzife2ydsPDjIMaD51LXxeOwEd4J16rMjuIPtSDSJO7R5Vsx1WSpARkF4zW46qHwKff/653HzzzVJYaP3f1/Hjx8v7778vISEh9eMkWSUCCCCAAAIIIIAAAggggECDF9CVrx55d4ts2JtVJxYzv1cl2tXMk704sHTXoZw6CSitekP1/YVH3t1qCyzV9xVoniugk4w8enMPeVxdl9dJIxxpOsOplSynZmP6NBK1hu7StXWkWVf2I1AjAR1E+suWXxPwbFXZeXMNMkDqCZqEB0ifDlGqsl4T0fc1CXauEXu9PGhTovHvJr7qB9aYYa5P7jDmnBbyvqoQahTgujGRoNJ6+U3GohHwEAGCSj3kjWAZCCCAQF0L6Cfr9FPB9762QQqKKywvR5eh3p6UY3tZPsigY9fWEfLIjd0NerCrLgRenr3bcsCxDjDWJR30H9JmTQf/jVdP0l1zXoIs35Ypb8xLlPQT5lkvk1WW07cX7LOVojKbg/21F2ilnro1ymS8PSlbSlSwrzvKVW3Ya5xRWV+A1iWQaAh4o8DKlStlwoQJ6uK99av3jz76qDz55JOiHyCheZ9Ah1bNpGMr5z5pHhjwv8sEIwZ1k5MmT907qrp80x7JKzD/t97RcemPAAIIIIAAAggggAAC3iXw3KydNQ4o1YkQotT17gD/XxMgZKkH5h34U/o3yPdUYGlTVYHpyqGuDwz5bVI3faIrjOmKZI5mKPXXSSZUUJ++BhylAqoC/BpJobqfoK/p7j2cK4cz7T+YXt2pbVbVsV76bJf8ZSL3BKrz8aRt5/WOlYcndpPnZ+0yDGByxZp1gJaee3ivWFcMz5gNXEBX6fv0p0OyVmV0NArOO5NJV+L7adNR2+uVObvlXBVYet2FraVzQsSZXfnaywR0UiWj1qdDY9u/kUZ9nLFP39vXgc1G980STdbqjHUwBgIIeK/A/+4Wee85cmYIIIAAAhYF2seHy7N39JGHp292KLDU4vCm3Tq2DJfn1PxBqnwEzXME1qryUku3Zlpa0HiVYXbKmA4qg61jT5brYCd9QWhgl2h5Wf3xvXBduul881cctmVC7cQf6KZWte3QTT2J/sWyw3aHKSmrlGUqKHhkf+cGNp05YXlFpSzZnHHm5tO+7pwQLj76sXUaAl4oMGzYMJk4caJ89NFHpmcXFBQk//nPf+T666837UuH+isQFOgvUZGhLjuBxuHOz27r6+DvCC47OQZGAAEEEEAAAQQQQAABjxX4YlmKLN541KH16aCKC/rGSl/1sYUqta2D0KpaSVmFHDiSbysBu2hjukPVtf45d48tQEhfu/aWpoOmnn5/u+Soks5WW+/2jWXsuS1lmKpKZfRgua5MtXB9usxT1xJ1MK+Vpq8F6/fv8sHxVrrTpw4FLhnQXCJV6fkn1fdPoapY544WGuQrj03qKYO7RrtjOuZoQAK6Ktq/vtgrW/Zn1/qsy1QCnp83ZdheQ7tFy90q8UpL9W8RzTsFUjKMKy/qf9Pc1fp2NA4qTVFJenSSCpJOuOsdYR4EvEuAoFLvej85GwQQQKDWAr3aNZZ/3tNf/vT2ZjmRa+2iT60nVQP0U7/0/u22XhISxD9NzvB05hjTv95nabj7x3e2XVi01NlOJx1QrJ9Kb94k2FaywU4322adXWD61/vlpf/ra9SNfU4Q0BfjzdqcJckuDyrVF5jNLnb37WSeIdfsXNiPgCcLvPvuu7J//35ZtWqV3WXGxcXJvHnzZPDgwXb7sMM7BPILSyQts/YXvk/VCA0OlIiwYNumjBO5UqEC+p3Zysvdc9PJmWtmLAQQQAABBBBAAAEEEHCfwKH0AnlTVTOy2s7tGSO3Xd5O2jYPs3tIoL+vrWS2Lpt986i2snrnMVsVpKQ046AQPaAOFHry/W3ynz8PUVk5HXuQ3u6C6njH50tTZJuqPmalJagKRvq6b3+L19x0ZapJyvi6C1rJrMWH5ONFB0VXOzNrr6vArsEq4UC0ygxL82yBwd2ayjvTBsmT721X2WmNs/XV9kx0AoHHVUBpfNNfr1PUdjyOR0AL6OQV736zX2b/nCxOLtBjA16187iq/LZaJl3aTiaObE0wn5d92+UVlplm+Tb6ncTZHG1V5nCjppPC5BaWS2Sov1E39iGAAALVChC5Uy0LGxFAAIGGLdChRbi8qy4K/O2DHbIxMcvlGBNHtpFb1YW/U58ed/mkTGBJYNWOY7IvNd+0752jO9Q6oPTUSW65rJ160rlc5ixJOXXzWZ/rkuy7k3OlSyvKiZyF48QN+mKuNtbW9tqelDz1FO5RlRGimb0utdpepJ58n/n9AdMxhqsbCTQEvFkgMDDQFjA6cOBASU5OPutU+/TpI1999ZUkJCSctY8N3idwMDVT9MuZrVPrOBnQo51tyJWb9qoyhu57yMiZ58FYCCCAAAIIIIAAAgggUD8FXpm721IQYliwn/z5+q41Koc9RAXFDejcRD5ceFA+WJikMngZW+mS7p+oAEkdLFnf2/GcEpn5nfk1Nn2eI/s3kz9e27VGlcV0NlN9jXdYj6by6IytkpFdYkins16+OT9RHr25h2E/dnqGQIumIfLmAwNEByi/912SFJU69wHS4ED1/aMC8q4+r6XDVdE8Q4hVeKpARnaxPD5zm+w6ZP9ehzPWrh9I0IGrm/dl2X6uEdDnDFXPGMNKluboiAC3LdbKwxiFxQSVuu0NYSIEvEzAOx6p87I3hdNBAAEEPEGgSXigLQOkfgpZX6BzRdNPT712b3/5/ZXtCSh1BbATxtQl5s3a8F4xcv1Frc26Obx/ypiO0kuVVTJrX61INevCficIjBpoXtpel4o5kWd8gbimS/n3V4mSaXLxuY36meJNpchqasVx3i8QGxsrCxYskLCw07OwjB07VpYvX05Aqfd/C3CGCCCAAAIIIIAAAggggIBXCqzYlqkCcMyrMTSLCpK3HhhYo4DSKjg/Xx9b0ONTt/S0lIFUZ9zMyqv/D9198tMh0Q9vm7UJ5yfIX2/qUaOA0lPH7pwQIW/cP0CVgTbPNLl441FJSjNPcHDq+HxedwL6/6FrL2gtsx4dJjeo+wMhKhC0tk2PoTM7fqLG/J3KdqvnoCHgLIGD6fly9yvrXR5Qeup6dWKUe15bLxlZxadu5vN6LFCqMn+atQB/9/3sspJFvazcfM1m58R+BBBomAKuiRJqmJacNQIIIOB1Aj4+jWzZJ0f0iZVP1cWm+ctTnfLEafPoIHWRoY1cNrg5FwU8+LtGXyRdt/uE4QpDg3zlgQmdDfvUdKfOXDtNPQl/y/OrDbMTLNl8VO4b30l0GSua6wQuHtDc9mRtQbH9i84n1PfM4zO3q4D0Pk59P75dfUTmWwgeHje8pesAGBkBNwqUlZWJv79xOZpevXrJxx9/LOPGjZPKykp5+OGH5e9//zvllNz4PtXVVKGNYyUqvp1Tpy/MOSYlBcYZGsKj1e9tgeY3AR1ZmH/Q6YHRjhxLXwQQQAABBBBAAAEEEPA+gQ9/PGh6UlFhAfLK3f2cVg57eK9YeWxSI3nsP1sNyyDrIJI5S5LlDlWxqb62nIIyWbDS/AF9naH07nGdnHaaMY2DbAks7vzHOtFrMGqzFh2SR27qbtSFfR4mEBUeYPv/4qZL2sqybRmyeMNR2bI/y7Q8dNVpBAX4SO/2UXKR+r47T/3/GKSy3NIQcLZA8tECue9fG01/Bjl7Xj1e8tFCFVi6wRZg31RVhaPVbwH9M8usWXl4w2wMq/utzBXkhKB/q+uhHwIIeJcAQaXe9X5yNggggIBLBBqrC3U6a6QuU6+fFl64Lk12OlgaQj+VNVSVFbpkQJwM6d6UzKQueaecO+jaXcelotK49tOEEa1EZ7V1VUuIDZHLB8fLVwYXO3WpiS0qg8GgrtGuWgbjKgGdsXjsuQmiszIYtW0Hsm0lrZ66tZdTLgD+oH7evPTZLqMpbfuaqHIil6nvFRoC9VmgtLRU7rjjDikoKJDZs2ebBoiOGTNGXnrpJWnatKncdNNN9fnUWbsDAhfc8pjolzPb4ncfk7Vfvmk45FV/mi4JPYYa9mEnAggggAACCCCAAAIIIFBTgR0Hc2R3svHDbuoZdHlicg+nBZRWrfXcnjEySZXaNisLr69RTlYl3a1kBasa25M+LtqQLiUmGdZ0RlFd8t7ZLa5JsDw8sZs8NH2L4dC/bMlQCQRcVz3NcHJ21kpAl6y/RCUm0K/yikrZk5InOjNkSkaRCuQr/S1Dru4XGRogCbHB0iYuTDonhJN8pFbyHGwmcDynRP741qZaBZT6+TaSk+p2mdk9M3trOaoylU5Ta3hdZW4ODSJEx55TfdgeaqG6Z/qJYunR1j1nk55VZDoR33OmRHRAAAE7AvyLZQeGzQgggAACZwuEh/jbMpeOPbel5Konijfvy5K9h/PURYFCVZa6WHRwn06hr58k1b9Ux0cHqwsDIdK9TaTt5e9n/vTW2bOypa4ENiYaZynVmUT194Kr2zWq1JJRUKmef2NiFkGlrn4j1PjXXdhKvlmdKtn5xhkF1qoMt1P/uV5d5O+pSluF1Ghl+sLjjG8PyCeLD1k6/vYr2tfbC/qWTpBOXi+QmZlpyzq6YsUK27k+9thj8vTTT5ue9wMPPGDahw4IIIAAAggggAACCCCAAAIIeLqATmRg1q4+L0F6d4gy61aj/Tde3EaWbc2Qfan2y6/nF5XLqh3H5PzesTWao64PsmJ8//guTnlQvLpzHaKSTuiqaEs2Z1S327atVN1f0JWprhzawm4fdni+gC5bX3VfyPNXywq9WUAHgT71wXbJyC6xfJr63pdOYjJMJcjp1iZCWjYNkcD/ZtAtLCmXw+qe6LakHFm5PdN2b0oHm1ppSekF8uKnu2z3Taz0p49nCoQE+qnAeH/DIOV9qXkysn+cW07A6PcWvYCIED8Cmd3yTjAJAt4pQFCpd76vnBUCCCDgcoEI9QvzeerimX7RvFNgd3Ke4Yn17xQlOoutq1vrZqHSoUWY4QVdsywGrl5jQxlfB5b/31Ud5dmPd5qesv5D9tYX1sjEi1rLeJXR1pEnIXWW3LfmJ4q+yGKl9WgbKZcNam6lK30Q8EiB7du3y+jRo+XgwYO/re9vf/ubdO3aVW644YbftvEJAggggAACCCCAAAIIIIAAAt4qsGxrpuGphajshpNGuS7tlw4i0te9Hnxzk+E6lqpMmvUxqDQ7v9SWOdLo5Hq1bywDOjcx6lLrfbeoTK86G6lREJa+NkhQaa2pGQABBJTAxz8elC37sy1Z6H8Hxg1vKddf2Fqi7ZSp1wGFnRIibK9r1IMOR44VyUdqju/WHjH8uVa1AB1UrxN3XDGEwPkqk/r4sZVKqKQDi+219XuMk/bYO64m283mSogNrcmwHIMAAgjYBEgZxzcCAggggAACCJwloJ/eTD1WeNb2Uzf07ejaC4ynztXPZK6UDGvBh6eOyec1Exg1sLkto4CVo0tVOa2Z3yfJtU+ukFfm7Bb9x21JaUW1hx5SAaSzlyTLbSoQ9U9vb7YcUBoa5CuP3NjdtEx4tZOyEQEPEPjmm29k2LBhpwWUVi3rtttukzVr1lR9yUcEEEAAAQQQQAABBBBAAAEEvFJAXxc6kVdqeG5XDI0X/cCzK1v/Tk1sD7cbzbFJVUyqj01XHTNr49xQlUonEOhrkm1Wr/WkUdSp2YmwHwEEEFAC+h6XDvi00trHh8mMPw2SqeM62Q0orW6c+KbB8qfru8ob9w2Q5tFB1XU5a9u/v9qnqsEZ/5t31kFs8CiBbqpCp1HTSVcOptvPfG50rCP79O9PiaqiqFHTWaNpCCCAQE0FyFRaUzmOQwABBBBAwIsFjueWSHmFcc0O/Ue2u1o7k7mO55aq9VaKLqtDc73AtOu6yoG0fEk+ahx4XLUSXRps/opU26tRI5FmUUESFR4g+snfguJyST9eLEV2gk2rxqjuox7r4Ynd1cWa4Op2sw0Bjxd4+eWXZdq0aVJZWVntWouLi2Xs2LGydu1aSUhIqLYPGxFAAAEEEEAAAQQQQAABBBCo7wLbD5pnkbtkgHuq1Fw8IE5VTNpnl1QHv6YdL6p316PMyuP6+zaylXq2e+JO3HF+n1hbyWh7Q+YWlttKVetriDQEEECgpgJvq+DN0vLqr7ueOuY5PZrKY5N6SKC/76mbHfpcBxlOf3CQPDJjq2w1yYyap37Gva+Scdw3vrNDc9DZcwT6dYySz35ONlyQ3v/n67sZ9qntTrM16PH7qaqTNAQQQKCmAkRe1FSO4xBAAAEEEPBigaLi6rNJnnrKMY0DT/3SpZ9bmavQwppdusgGNLguZf/ilL4SY6cEjBGFTjKQfqJYdh3Kle2qPEhSWkGNAkr1HPdd01nO7RljNB37EPBIgbKyMrn99tvlwQcftBtQWrXw9PR0GTNmjBQUkJG5yoSPCCCAAAIIIIAAAggggAAC3iWQkmH84HJkqL9pBlFniQzsHG06VLLJek0HqIMOZsZdWkVIYEDNA6ocOaU+7c0DXKhM5YgofRFA4EwBnSVy6dbMMzef9fXQbtHy5C09axVQWjWozqb9wp19pFubiKpNdj9+s/qI6OQutPop0EcFleoqekZt4bp02X/EOIuo0fFm+3Tilx/WpRl2Cwn0lb5qrTQEEECgpgIEldZUjuMQQAABBBDwYoHiMvOg0to8tekoXZCFJ0RLLKzZ0Xnpb19AZwp4ZWo/iWtSNxkDpo7rKGPdUJLLvgB7EKiZwPHjx2XkyJEyY8YMywMcPnxY9u2znyXF8kB0RAABBBBAAAEEEEAAAQQQQMADBVKPFRmuqmPLcGmkS9a4obWOCxWdtdOoHVElletby8wpNlyyPm93tRYxwbYKRkbzZWYTbGXkwz4EEDAWmPtLinEHtTchNkQeVRlKnVkBL0gF5//9tt7SJCLAcH6dQfUrVd2NVj8F9P3RC/o2M1x8ReVJeX7WLimzkC3XcKBqduoxn5+1U/QcRm1En2ZOCZg2moN9CCDg3QIElXr3+8vZIYAAAgggUCMBK0GcVgJPazR5NQdZmUv/sU5zr0DLmBB5474B0jkh3G0TB/r7yGM395Dx57dy25xMhICzBHbt2iWDBw+WpUuXWh6yW7dusmbNGundu7flY+iIAAIIIIAAAggggAACCCCAQH0SKCgqN1yuOx9q9vVpJLEmZdcLio3Xa3gydbTTrDJVk3DjAChnLlsHcOnss0atsMQ86YHR8exDAIGGK6ADNpdszjAF+MvEbhIS6Gfaz9EOUern6R9/18X0sIXrjbNMmg5AhzoVsJL0ZO/hPHnps11OX+fLs3fLnhTzLKjjhrd0+twMiAACDUuAoNKG9X5ztggggAACCFgSCDEp26AHcefT4hlZxk/S6/UEqzIONPcLREcGyusqsPSa8xJcPnlblTHh7QcHyoX9jJ8AdflCmACBGgj88MMPMnToUNm/f7/loy+77DJZtWqVtGvXzvIxdEQAAQQQQAABBBBAAAEEEECgvgkUlRoHELr7up/ZfEUllfWNWMoqjNfs7+feW8Z+Jtlgy03WW+/eABaMAAJuE9iw54TkmzyscHH/OOnaOtJlaxrWI8a07Hja8WLZm5LrsjUwsGsFOrQIl6Hdok0n+WFduvxDBYFWmmQVNR1IddBjvDJnt3y31jwgeYham870TkMAAQRqI+DevxBqs1KORQABBBBAAAG3CTSJCDQt83TgiPlTcM5a8IEj+YZDNVWBjc4sUWI4GTvPEtAXne+5upMta2mHFmFn7a/thqAAH7njyvbyzrRB0ibO+ePXdn0cj4CZwGuvvSZXXHGF5OTkmHX9bf99990nCxYskIiIiN+28QkCCCCAAAIIIIAAAggggAAC3ihgFtBYVm5c3tXZJjrLnVEL8GtktNsj95lVeXJ3ZlCz+czW65HILAoBBDxCYOPeE6bruP6i1qZ9atvhBgtzbNibVdtpOL4OBe4c00F0hnOztmBlqvzp7c2SlVdq1tXufn3sn6dvlvkrUu32qdqh13Tn6A5VX/IRAQQQqLEAQaU1puNABBBAAAEEvFdA/8ER3zTE8ATd+ceu2VwJscZrNTwRdjpNoHvbSHnnj4PkqVt6SueE2j8BGRbsJxNHtpFPHztHblAfCRx22lvFQG4SKC8vlylTpogOEK2oMM66UrUkf39/mT59urz66qvi60sG5ioXPiKAAAIIIIAAAggggAACCHivQIhJBaLaBGHURO1ErnHQR3CQ88sl12SdjhwTFmxcbj79RJEjw9Wqr84gaJZFUF8XpCGAAAI1EdiWZPxgv06M0S7e9ckr+ndqItERAYansD0p23A/Oz1bQCdBmTCilaVFrlcZdG96ZpV8/kuKlJRZu1egB9Z9P1+aYjt23W7zgGl9zIQRCdK2ueu/x/VcNAQQ8G4BfiP37veXs0MAAQQQQKDGAl1bR8ihowV2j9+UmGV7qi4q3PiPYrsDWNxxMD1fDqQZZyrt2opMfhY5Xd6tUaNGcl7vWNtrv8pm++P6o7Ju93HZb5JttmphkaH+trIwI/rEii4RE+Dm0ltV6+AjArUVyMrKkvHjx8tPP/1keagmTZrI3Llz5YILLrB8DB0RQAABBBBAAAEEEEAAAQQQqO8CMY2DDE8hSV0fdFc7nlNiGvAYo6om1bfWommwbN5nPyPe3hT3VaVKPGxe7rmFScKD+ubPehFAwH0CyQb3tfQqBnc1L1nujNX6qOQtA7tEy/cGpcqN7sE5Yw2M4XqBWy9vJxtUdtzEw+b/juoHKv715V758MckGdk/ToZ1byrd2kTKmdm5i0srZNehHFm5/Zj8uCFdsvPLLJ+IDpq+9fL2lvvTEQEEEDASIKjUSId9CCCAAAIINGCBvh2jDP/Yrag8KV8uS3H5Hydz1VN7Zk2vleZ5Au3jw6X9mHCZokqA5BSUyQEVWJqSUSAnVJmOwuIKKa+slJBAP9GZB/SF7dbNQkVnndWBqTQE6rPAnj17ZPTo0ZKYmGj5NLp06WIrd9+hQwfLx9ARAQQQQAABBBBAAAEEEEAAAW8QMKtClHy0UF1PKpEm4a4P5ty8337gZZW12Xqr+nnSx1bNjCs9pR4rkrTjRdI8Otjly7aSaa0+GrscjgkQQMBUQGe2LiwxzgLZOcF9SUp0RTejoNK048Vy8uRJ7omYvrOe20EnRnlicg+565X1tvtgVlaqg0T1vc+q+5/6YZXwkF8ziucVlkmmesClJi0ixE+tpSfJWmqCxzEIIFCtAEGl1bKwEQEEEEAAAQT005q+6klKHTxqr+k/eK46p6VEu+jpfP2U5ndr0uxNb9seGuQrvdo3NuzDzroXqMpASgBw3b8XrMC1AosWLZIJEyZIdrb10kUXX3yxzJ49Wxo35meZa98dRkcAAQQQQAABBBBAAAEEEPBEgY4twk2X9cvmDBk3PMG0X207LFHzGDUdPNJKPRhd31qPNubXHBauS5NJl7Zz6alVqmvNi1TWNaPWJi5UQoO4hW1kxD4EEKheQGeCNGvuCJ6vWkO8SaC+vv9WpIJgQ/iZV0VWLz/q7NrP3dFbHnhjoxSXVjp8DjqItKaBpFWTBQX4qDX0kZYxxg+RVPXnIwIIIGBFwMdKJ/oggAACCCCAQMMTaBwWIINMyoDoJz5fnrPbJTjlFZXy4qe7DINa9cQX9G0mgf6+LlkDgyKAAAKOCLz55pty2WWXORRQevfdd8t3331HQKkj0PRFAAEEEEAAAQQQQAABBBDwKoHubSNNs2rNX5Fqy+bmyhPPyCq2lZo1msPKWo2Or6t9nVuFS3C5feokAABAAElEQVSA8TXUL5cflhJVcteV7adNRyUj2zgDWz+qUrnyLWBsBLxaoKjEPKjUnUHrVoJFdVAprf4LdG0dKS9M6WurzOfus9HVAF+4s490axPp7qmZDwEEvFyAoFIvf4M5PQQQQAABBGojMPacFqaHr9h+TD76Mcm0n6Md3pyfKNuTckwPGzPMfI2mg9ABAQQQqKXAPffcIzpAtLzc/MKlnsrPz0/eeOMNef3118XX1/imTi2XxuEIIIAAAggggAACCCCAAAIIeLSAzv7ZxySQ8GB6gSzeeNSl5/He90mmD7gP6Rbt0jW4anA/Xx8Z1qOp4fC6HO/Hiw8Z9qnNTh2w+u43+02HOK93rGkfOiCAAALVCeifdWZNJzRxVyuvsF8JsGoNvr6Nqj7lYz0X6NWusbx2b39pHh3ktjOJaxIkr93TX1V0jHLbnEyEAAINR8D8X9WGY8GZIoAAAggggMAZAoO7NZWOLc3LT737zQGZ+0vyGUfX/Mt3vt4vXyw9bDqAzqTaKSHCtB8dEEAAAVcLhIZaL32ny9zr7KR33XWXq5fF+AgggAACCCCAAAIIIIAAAgjUC4FLBsSZrlM/hJ5TUGbaryYdtuzLkm/XHDE81EfF/VzUz3ydhoPU4c5RA5ubzj5r0UHZnZxr2q8mHd76ap+knyg2PLRZVJD0bt/YsA87EUAAAXsCwYHmD+9nu+jfkerWlFNQWt3m07ZZyWZ62gF84dEC7ZqHyTt/HCwj+rj+AQk9x7vTBku7+DCPNmFxCCBQfwUIKq2/7x0rRwABBBBAwC0Cd47uYGme179MlFfn7pHS8po/5VmoSpM8/cF2+VhdvDRr+iLu769ob9aN/QgggIBbBJ555hm56qqrTOfq2LGjrF69WkaOHGnalw4IIIAAAggggAACCCCAAAIINBSB4T1jJDLU3/B0T+SWyt8+3C7OzjJ3LKdEnv5wh+Hceqd+AL9pZKBpP0/tMKBzE2nVLMRweTqr3qP/2apK1BsHfxoOUs3Or1elyrzl5kkErjkvQRo1ImtfNYRsQgABCwJNwgNMex1Sma/d1czm0mXLdbZumncJ6Pf1ick95dnf95b46GCnn5zOhPqMGlvPoeeiIYAAAq4S4F8oV8kyLgIIIIAAAl4ioC82XtDX2hN1+sLgbS+skTU7jzl09idPnpSfNx2Vyc+utlzGauzwlpayqDq0EDojgAACNRTw8fGRjz/+WHr37m13hAsvvFDWrFkjnTt3ttuHHQgggAACCCCAAAIIIIAAAgg0RIHAAF+ZMCLB9NTX7T4hz8/aZVqm3nSg/3bIyiuVaf/eJDqw1KzdeHEbsy4evd9HPaU/caT5OWRml8gDr2+UtONFTjkfHVD68uzdpmPpoOLRw1qY9qMDAgggYE9A/1sS29g4+H/r/mx7hzt9+xaTuRJijQP9nb4gBnSrwNDuTeWDvwyRP1/fVVo3s17pzN4i9Rh6rA//MlSGqbFpCCCAgKsFCFt3tTDjI4AAAggg4AUC94/vItsP5EimhYurKRmF8ufpW6RDizC5fEi8DFVP8De38yRe8tECWbH9mHynSkslq+OsNv2H0x1XdrDanX4IIICAWwRCQ0NlwYIFMnDgQDl69Ohpc955553y+uuvi58ff4KdBsMXCCCAAAIIIIAAAggggAACCPxXYNzwBPli6WE5oQI9jdqPG9Ilp7BM/npjd4kwyW5qNM7+I3ny6IxtcsRC8OTQbtHSvU2k0XD1Yt/F/eOUcYrsSckzXG/qsSKZ8vI6eeiGbqKDYmrSSkorRJe8t5KhVI9/2+XtxErp6pqshWMQQKDhCLRvEa6yLdt/UGCVSoqiK+65OkNodn6pmAWVtqdsudd/Y/r5+shlg+Ntr93JubJY/Q6zfu8JSUqzljG3bfNQGdCpiVzYr5l0bV3/fw/x+jecE0TAywS4o+llbyingwACCCCAgCsE9FPij03qIQ+8sVGVlzppaYp9qfny2ud7ba+osABpGRNsK8Ogj85VF30PqyDS3MJyS2Od2klfWHzylh4SpJ44pSGAAAKeJpCQkCDz5s2TCy64QIqLi8XX11defvlluffeez1tqawHgWoFdBnJouJfb+DqTOI0BBBAAAEEEEAAAQQQQMBdAqFBfvJ/V3WUv39kXop+7a7jcquqmDR1XEcZ0aeZQ0ssKauQ2T8ny4cLD9oCi8wO1oFH91ztHVVHdLbSByZ0kbteWSeVJn/y5RSUycPvbJHze8fKLZe1lTZxYWZUtv0VamBdlerdb/ZL+oliS8d0bR0hVw4lS6klLDohgIChQN+OUbJqh/1qevlF5bafUaMGNjccp7Y7dTIV/fPQqOm10hqOQJdWEaJfuuWqf2MPqsQ7+l5pTkGpFJZU2LaHqHugkaHqnqrKYttGJdipzcMztgH5DwIIIFALAYJKa4HHoQgggAACCDQkgZ7tGstfb+ouT76/XRyNMclST2TqV22bn28j+fttvSxfwKztfByPAAIIVAnk5ubKc889J0888YQEBARUba7245AhQ2TGjBly1113yWeffSajRo2qth8bEfBEgQOHM0S/aAgggAACCCCAAAIIIIBAXQhcPCBOftmSIcu3ZZpOr0vWP/HedlUx6aCMG95SzusVK+Eh/naP0+Xcf1yfbsucaZYN9dRB7hzdQeKbBp+6qV5/rgNabr28vS3o08qJ6PdDv/p0iFIBvLHqY2OVQCBEdPa1qqaDtBIP58ra3SdsWdiMsgRWHVP1MTTIVx69qYfogFcaAgggUFuBQV2ayJsmg3y4MEkuUpkfT/05ZnKIQ7sLisvlM/XwglHzVT/z+qsMlLSGKaCDRXup+676RUMAAQQ8VYCgUk99Z1gXAggggAACHiign/ovKauUFz7ZZfqEpbOXH+DvI09O7in9+CPb2bSMhwACJgJJSUly5ZVXys6dOyU9PV3+85//mBwhcsMNN9iCSaOjo0370gEBBBBAAAEEEEAAAQQQQAABBP4n8Ofru8q+1DzLWS51xaQXP90t//hst+iyx7pUbHREoK20cZHK/HU0q1gFPOZZKnP/v1X8+tnwXjFyzfkJZ26u919PHNladh3KkRXb7WfzO/MkN+/LEv3STQdDhYf4ib/K4qqNdVBpTVojFUf68MTuXhW0WxMHjkEAAecJ6KzKHVqEqX9H8u0OejizSGYtOiQ3j2prt09tdkxfsE+y88sMhxjQuYk0VlX+aAgggAACCHiqwP8eIfPUFbIuBBBAAAEEEPAoAV0S5O+39xL9BLm7WuMwf3n5rr4ytHtTd03JPAgggIBNYNmyZTJo0CBbQKneMHPmTHnxxRct6RBQaomJTggggAACCCCAAAIIIIAAAgicJqCzjb5wZx9V/tV+1tHTDvjvF7rKsA4eXbguXT5ZfEje/yFJZi9JtmXZPKKylDrauqmS7I/c2N3Rw+pF/0YqmvOxm3tIz7aRNVqvLumsA6Yys0tqHFCqJ35gfGc5t2dMjdbAQQgggIA9gSuGxNvb9dt2/W/Elv8Gyv+20QmfLNl8VOavSDUdycoaTQehAwIIIIAAAi4UaHRSNReOz9ANQGDs2LEyf/58u2c6ceJE+eijj+zuZwcCCCCAQP0UOHKsSJ58f5vsSclz6QnoskqP3tRdoiMDXToPgyOAAAJnCugA0ilTpkhpaelpu3x8fGTevHkyevTo07bzBQL1VaCyokJOVlYYLt/Hz1/0TUcaAggggAACCCBgTyAtLU3i441v4C9fvlzOOecce0OwHQEEEDhNYHdyrvzp35skt7BmWTBPG8zBLzonhMuLU/qKLk/rza1QlWj+64ytsjHx1wyk7jpX/eelDigdc05Ld03JPAgg0IAESkor5NqnVphmCw0L9pNX7u4nHVuGO0Vn494T8tD0LVJaXmk4XqvYEHnvoSHio7I+0xBAAAEEEPBUAT9PXRjrQgABBKwIVKqnYQ8dLbC9dKkCXWKlqKRcfH0bSXCAnzSJCBD9i3m7+DBbuRsrY9IHAQSsCcQ3DZY37h8gXyw7LDO/O2Arc2TtSGu9dCaCO0d3kMsGNyeIxRoZvRBAwEkClZWV8tBDD9nNSKr36/L2K1eulJ49ezppVoZBoO4EfHxV9nH9oiGAAAIIIIAAAggggAACHiTQpVWE/Ou+ASqwdLOthL27lqZLEj91a08JCfT+26ghQX7yvMoK+4/Zu+X7tWluIdYVsHTJezKUuoWbSRBokAKBAb4ycWQbeWNeouH56/vK9/1rgzw2qYcM6Va7SnkL16fJi5/skrIK85xuky9tR0Cp4TvDTgQQQAABTxDw/r+GPEGZNSCAgFMF9NNlK7Yfk59V+YDNqixBnsWnlHVw6cAu0XLxgDjRF6NoCCBQewE/Xx/53YhWcon6/2ruLykyb/nhWpU70ivSpe4nqDHHnttSQtVFTRoCCCDgToH8/HxbwOiCBQsMp9X9dKbStWvXSmxsrGFfdiKAAAIIIIAAAggggAACCCCAQM0EWjcLlXf+OEienbVTVu04VrNBLB6ls2fedHEbmaSCfXwbUPY4fz8feeiGbqIrRr32+R4pLDGuZGGRs9puXVtHqKpUPUQnLKAhgAACrhQYN7ylfLvmiCSlFRhOo3/m6eyi49Q9qduuaC86e6kj7UReibw1b5/8uCHd0mF9O0bJhf2aWepLJwQQQAABBOpSoNFJ1epyAcxd/wXGjh0r8+fPt3siEydOlI8++sjufnYgYFUgK69UZi9Jlq9WHJaC4tpd1GjbPNT2hNoFfZs1qItDVq3ph0BNBXTQ9/LtmfLTxl+Dvq3+vxoR4if9OjWRkf3j1NOg0aKDVWkIIICAuwUOHTpkCxTdtm2b5amvu+46+eSTTyz3pyMCCCCAAAIIIIAAAt4qkJaWJvHx8Yant3z5cjnnnHMM+7ATAQQQsCfwnQoO+vdX+ySnoMxelxpv79AiTJVj7yLd20bWeAxvOPB4rgqOmp8oizYcderp6KpUt13eTq4c2oLsfE6VZTAEEDAS2J2cK3e/ul4qVOVLK00HlOpg1MsHx0vzaOPg94Pp+fLNqiOyYFWqFJcal7uvmjs40Nf2oETLmJCqTXxEAAEEEEDAYwUIKvXYt6b+LIyg0vrzXtXXlZaVV8pnPyfLhwuTpKTM2i/lVs9VP+V8//jOop8KoyGAgHMF9B/p+1Pz5ODRAjmcUWi72Fukn3JXT/zr0lE6I2mCyiDcNi5MdKB3I50KgIYAAgjUkYAuZT9u3DjJyMiwvAJ9M/zLL7+UmJgYy8fQEQEEEEAAAQQQQAABbxUgqNRb31nOCwHPEsgrLLNVTPp8aUqtKybpM2sZE2xLQHHJwOYkoDjlrdbBUrMWH5IlmzKkVN2jqWmLaxIkVw9PkNHDWogOpqIhgAAC7haYoxIWvTEv0eFp9T3kbm0i1L8TIRKugk11XKr+Nygls1C2H8iRI8eLHB7zsZt7kKXUYTUOQAABBBCoKwHHcnfX1SqZFwEEGqxAUlq+PPn+djmYblyaoKZAh1Sw2wNvbLRd0Jg6rqME+nNRo6aWHIfAmQK6RFSnhAjb68x9fI0AAgh4ksCHH34ov//976WkpMTysiZNmiTTp0+XgIAAy8fQEQEEEEAAAQQQQAABBBBAAAEEaicQHuIvt1zWTq69sJUs2ZwhC9ely7YD2Zaz0OnZdXDjsO5NRQeSDuzchMyZ1bwlbVQigL9M7C73Xt1Zlm7JkDW7jsvmfVmWssS2jQuVvp2i5PxesdKrfWOSCVTjyyYEEHCfwIQRrSRFJT75amWqQ5Pqe8j65ax2y6VtCSh1FibjIIAAAgi4RYCgUrcwMwkCCNREYNGGdHnx011Oz05a3VoWqD8kdiTlyLN39JZmUUHVdWEbAggggAACCHiZwMmTJ+WRRx6RZ5991vKZ+fj4yDPPPCN//vOfLR9DRwQQQAABBBBAAAEEEEAAAQQQcK6AroSkyxPrV2FxuWxVgaV7U/JsgUOZOcVqW4Utw2ZQgK+EBvmpMsZB0kplneveOlI6twoXP18f5y7IS0fTpaAvH6Kc1UtfR8nMLpFkFZx1LKdECkvKpbz8pAQF+EhYsL/ENw22VabS3jQEEEDAkwR01coC9W/F4o1H62RZE85PkEmXtquTuZkUAQQQQACBmgrwW31N5TgOAQRcKlDTUgS1WdQBlRX17lfXy4tT+qhS3GG1GYpjEUAAAQQQQMDDBQoKCuTGG2+UefPmWV5pWFiYfPTRR3LVVVdZPoaOCCCAAAIIIIAAAggggAACCCDgWoEQFcQ4pFtT28u1MzXs0Rs1aiSxKimHftEQQACB+iTgoyrr/fWm7hIZ5i9fLD3s1qXfdnk7uemStm6dk8kQQAABBBBwhgCP4TlDkTEQQMCpAvOWH5Y35iU6dUyrg+mna//wxiZJPVZo9RD6IYAAAggggEA9E0hJSZFzzz3XoYDSVq1ayfLlywkorWfvNctFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQR0YPy9V3eWh27oJoH+rg+TCQ/xk2du70VAKd96CCCAAAL1VsD1/1rWWxoWjgACdSGwfFum/PPzPTWaWpdh6dgyXPp0aCw920bayqz4qifPHG1Z+aUy7a3NkldY5uih9EcAAQQQQAABDxdYs2aNDBo0SDZv3mx5pUOGDJG1a9dK7969LR9DRwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAHPErh0UHN5d9pg6dcxymULG94rRmb8abAM6xHjsjkYGAEEEEAAAVcL+Ll6AsZHAAEErAqkHS+SZz/eISdPWj1CpJMKIh2lfvkf3DVaWsaEnHVgWXml7DqUI0u3ZsqP69Mlp8BaoOgRvZZZO9UTZASPnIXKBgQQQAABBOqpwCeffCK33nqrFBcXWz6DiRMnyowZMyQwMNDyMXREAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ8EyBhNgQefnufrJ0S4Z8sDBJ9qXmO2WhOunRpEvbyYDOTZwyHoMggAACCCBQlwIEldalPnMjgMBvAidVJOkzH+2QguKK37YZfdKueZjcNbaj6S/l/n4+0qt9lO11+xXt5YulKfLhwoNSVGo+z8rtx+TrValy5dAWRkthHwIIIIAAAgh4uID+PePxxx+Xp59+2vJKdTkk3f+RRx6xfAwdEUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBOqHwHm9Y0W/1u85IT+sTZNl2zKkuLTSocXrSpoj+sSKzoDao21jh46lMwIIIIAAAp4sQFCpJ787rA2BBiTwvfpFfVtSjqUznjiytdxyWTvx8/Wx1L+qU1CAr9wwso1c2K+ZPPn+dpXBNLdql92Pby/YJ8N7xUpkqL/dPuxAAAEEEEAAAc8VKCwslEmTJsncuXMtLzIkJEQ+/PBDufrqqy0fQ0cEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACB+iegM4vqV2l5V9l5MEe27M+WQ+kFkpJZKLmqCmZhSbk0UqcVEuRnu2fcKjZU2jQPlT4doqRzQrjD96zrnxArRgABBBBoiAIElTbEd51zRsDDBHSJ+hnfHjBdlY/6bf2hid3kkgHNTfsadYhrEiyvTu0nT3+wQ5ZvyzTqKnmF5fLxjwdtWVENO7ITAQQQQAABBDxSYN68eQ4FlLZs2VLmz58v/fr188jzYVH/z959gEdRvH8A/5LeSQIEQgglkNA7hCoiID2IVEUE5AdSBEVBUBQRGyDYUBELKE2QIlWQqvQivXdIAgmkh/TKf2f9B1PudjfJ3aXcd57nntztzM7Mfi7AMffuOxSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKGB4ARtpB0wRKCoeLBSgAAUoQAFzF8hfmj9z1+L1U4ACRhEQWUojYlNU+54yuG6hA0qzBrG1tsT7IxqguZ/6fwo2H76LWOkuNBYKUIACFKAABUqewJAhQzBu3DhNE2/ZsiWOHz/OgFJNWmxEAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQqURgEGlZbGd5XXRIESJrDhwF3VGT/Tzgs9W1dWbZefBlaWFnhveENUKGureFpyaiZ2SIGvLBSgAAUoQAEKlEyBBQsWoHPnzoqTHzx4MPbt2wdPz8JlRFcchJUUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFirkAg0qL+RvE6VGgtAvcuBeHW6Hxipcpgj7H9vFVbFPQyrKO1pg0oLbq6TtPMKhUFYkNKEABClCAAsVUwMrKCmvXroWfn1+eGZYpUwbvv/8+Vq9eDXt7+zz1PEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClDAnAQYVGpO7zavlQLFUODQ+XDVWQ3vXgP2tpaq7QraoF3DCmhQo6zi6TfuxeNBdLJiG1ZSgAIUoAAFKFB8Bdzc3LB161aIn1lFBJGKYNKZM2dmHeJPClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAmYtwKBSs377efEUKHqBU9ejFSfh4mCFbi2Nvw3toI5VFechKk9di1JtwwYUoAAFKEABCpheIDQ0FA8fPlQd2NfXV85YKjKXim3uxXb3gwYNUj2PDShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQqYiwCDSs3lneZ1UqAYCjx69AhXgpQDQDo09oC1lfH/qmpTv7xqNtTLgcpzLYbEnBIFKEABClCg1AucPn0a/v7+GDx4MDIyMlSvt3Pnzli1ahX++ecftGzZUrU9G1CAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhQwJwHjR2qZkyavlQIUyJdAWEwKUtIyFc9pUdtdsd5QlSJwtZGPq2J3QWGJivWspAAFKEABClDAtAIbNmzAE088gbt37+LPP//EG2+8oWkCAwYMgJeXl6a2bEQBClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClDAnAQYVGpO7zavlQLFTOB+ZJLqjGpWdlZtY6gGtbycFLu6H6U+X8UOWEkBClCAAhSggMEEZs+ejf79+yMhIeFxnwsWLMD333//+DWfUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKBA/gQYVJo/L7amAAUMKJCQor5FrYebrQFHVO7Kw81OsUFCcrpiPSspQAEKUIACFDC+QEpKCl588UVMnz4djx49yjPghAkTsHfv3jzHeYACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABdQFGFSqbsQWFKCAkQSSNQSV2lpbGmn0vN3a2SiPlZKamfckHqEABShAAQpQwGQCYWFheOqpp7BixQq9Y6anp2PgwIG4fv263jasoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEAB3QIMKtXtwqMUoIAJBGyt1f8KSk03XSBnapryWDYa5msCNg5BAQpQgAIUMEuBc+fOwd/fH0eOHFG9/qioKAQEBCAmJka1LRtQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoMB/AuoRXf+15TMKUIACBhVwsLNS7S8yNkW1jaEahKuM5WCrnMnUUPNgPxSgAAUoQAEK5BTYsmUL2rVrh8DAwJwVCq/q1KkDa2trhRasogAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKECB3AIMKs0twtcUoIDJBCq62amOdSskXrWNoRrcDlUeS8t8DTUX9kMBClCAAhSgwL8C8+bNQ9++fREfr/zvdHavqVOn4vfff4ejo2P2w3xOAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIqAgwqVQFiNQUoYDyBiu52sLYsozjAqevRivWGqszIfISzN5TH8vZgYIqhvNkPBShAAQpQQE0gNTUVL730EkSAaGZmplpzud7GxgZLly7F3LlzYWHB/+poQmMjClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAtkE+E1rNgw+pQAFTCtgaVEGtao4Kw6672yYFEjySLGNISpPXYvCw8R0xa5qV1Weq+LJrKQABShAAQpQQLNAREQEOnfujF9++UXzORUqVMDevXsxbNgwzeewIQUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEK5BSwyvmSryhAAQqYVqCZrxsuBz7UO2hEbAr2nwtDxyYV9bYxRMX6/cGq3TTzdVdtY24NHj16hNuhCTgtZXm9HRqPoLBERMelIjE5XQoGBhzsLOFkb4UqFRxQvZIjGvm4ol71srC24j0N5va7wuulAAUooFXg4sWLCAgIwO3bt7WeggYNGmDLli2oXr265nPYkAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAF8gowqDSvCY9QgAImFGhTvzxW7g5UHHHJ9lto37ACrCyNE4h47lYMjl6KVJyDV3l7eHs4KLYxp8pbUgDpn8dCsfvUfUQ9TNV76dHx/1ZdDY573MbW2kJ+P7v7e6JFbXeUKVPmcR2fUIACFKCAeQts27YNzz//PB4+1H/DSW6hXr16YdWqVXB2Zkbx3DZ8TQEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUCC/Agwqza8Y21OAAgYVaFDDFZXL2SMkMklvv0EPErF85x281MNHb5uCVqSkZuCz366ont61padqG3NocCXoIZb+eQtHVIJwlSxS0jKx59QD+VHD0xEvPl0DnZoZNxOt0nxYRwEKUIACxUPgiy++wJQpU6RM11Kqa43ljTfewLx582BhYZwbTzROg80oQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKlBoBfvtaat5KXggFSq5AQFsv1ckv23kbxy5FqLbLTwOxdfu83y4j8EGC4mlWlmXQo5V5B5U+TEjDfMlq7Of/FCqgNDf07dAEfLDsAiYuOAmR/ZSFAhSgAAXMTyAtLQ2jR4+GCBDVGlBqbW2NxYsX47PPPmNAqfn9yvCKKUABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABIwowqNSIuOyaAhTQJvBMOy84OygnTpbiPzHzl/M4dS1KW6cqrURA6Vfrr2H3yQcqLYFuUpZSD1c71XaltcH5WzH436fHsPVIiNEuUYwxZv5xbDx412hjsGMKUIACFCh+ApGRkejatSt++uknzZMrV64cdu/ejZEjR2o+hw0pQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUECbAINKtTmxFQUoYEQBBzsrDH26uuoIyamZmPb9GWw5fE+1rVKD+KR0zFhyXlMAo621BYZ1q6HUXamu23Y0BJO+OYXw2BSjX2daxiN8ue4q5q66hIxMKYqYhQIUoAAFSrVAUlIS2rRpg7///lvzddarVw/Hjx9Hhw4dNJ/DhhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUooF2AQaXardiSAhQwokD/Dt6oUclRdQQRePjZmiuYKgWXBqlsW5+7M5GddO+pB3hpzlEcPB+eu1rnaxFQWtHNPLOUrt4biE9XXzZ5gOf2Y6FS0O85pGdk6nxPeJACFKAABUqHgL29PUaMGKH5Yrp3744jR47Ax8dH8zlsSAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIAC+RNgUGn+vNiaAhQwkoCVpQWmD60Pa8symkY4fjkSw6XgUBF8eEgKEE1KydB73oPoZKzbF4QRc47hg2UXNGfdrF+9LAY/VVVvv6W5YuuRe1i0+UaRXeLhCxGYvfISRCAwCwUoQAEKlF6B6dOn44UXXlC9wFdffRVbt26Fi4uLals2oAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKECBggtYFfxUnkkBClDAsAK+VZwxsZ8fPl97VVPHIt7wwLlw+WFpUQbVpUynlcvbw9HOChlSRtOYhFQpm2kiRFBpfktZR2vMHN4AItjV3Mrp61H4XMoGm9/i7mKDhjVcUbWiA1wcrGEpBQjHJ6YjJDIJlwJj5fciP33ukbLKelVwwMgezEiXHze2pQAFKFDSBBYvXoxbt27JWUhzz93KygrffPMNxowZk7uKrylAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQwAgCDCo1Aiq7pAAFCi7Qp10V3I9Kxq97AvPVSUbmI9wMiZcf+TpRR2N7G0vMHdMEHma47X10XCo+XH4REqemIoJ5u7ashIA2XqgnZXZVKqFScOmfx0Ox4UAwHkrBplrK8p230bimK5r7uWtpzjYUoAAFKFACBWxtbbFhwwb4+/sjKCjo8RW4u7tj7dq16NSp0+NjfEIBClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAsYVML8UfMb1ZO8UoIABBF4OqIUBT3oboKf8d+Fga4nZLzdGnarmub3uNxuuIephqiY4/zruWD69DaY9X081oFR06FnOHi9JWUdXz2yHQR2rokwZ9WFENtp5qy8jJTVDvTFbUIACJhWIS0zD3fBEXL8bhxv34hASkYTEZG0B4yadKAcrEQIVK1bEli1b4OTkJM+3du3aOHr0KANKS8S7x0lSgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAKlSYCZSkvTu8lroUApEpjwrB/cnW3w4x83IQILTVHKl7XF7NGN4VvF2RTDFbsxztyIhthyXq2IYNBxfXwx6Kmqak111jvYWmF8X1+0qV8OM38+r5q1VGSuXbH7Dv7Xs6bO/niQAhQwvoDIBn3uZjROXovG2ZsxCLwfr/fPbjkXG9TwdEKTWm5oUdvdbIP0jf+ulIwR9uzZgzlz5mDTpk1wcHBQnHSjRo2wcuVKLFy4EKtXr4arq6tie1ZSgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoIDhBRhUanhT9kgBChhIYEiX6qgtZQz9aNlFRMdry55Z0KFF1s3pQ+vD1cmmoF2U+POWbL+leg0ioHTGiw3QqVlF1bZqDZr6uuPr11pg0tenVN/fdX8HY+CTVeHiaK3WLespQAEDCoRFJ2P9/mDsOnlfcxbjSCnbceTDKJy4GoWfpBsDvMrbo0erynimnRecHfhn2IBvT7HvatGiRZg4cSLS09MxfPhwrFmzRspSrZymuk+fPhAPFgpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUKBoBi6IZlqNSgAIU0CbQ3M8dS99ujd5tKms7IZ+tXJ2s8daQevh0bFOzDii9cDtGykIYo6onMsgaIqA0a6BqFR0xd0xj2Fgp/3OUlJqBDQeCs07jTwpQwMgC0XGpmP/bZTz/4WH89leQ5oBSXdO6F5EkB5cOmnUIi7fdRLL055mldAtkZGTgtddew7hx4+SAUnG169atw3vvvVe6L5xXRwEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUKAUCChH8ZSCC+QlUIACJV9AZKecMrgulkxthaeaekhZzgp/TWWlPkf18sHKd9uiu79n4Tss4T38cSRE9QraN6yA/h28Vdvlt4GftwvG9/VVPW3bsVA8evRItR0bUIAChRPYeuQeXvzkCLZKfy+Ibe8NVZJSMrB85x0Mk/o+dinCUN2yn2ImEBsbi169emHBggV5ZvbRRx9h1apVeY7zAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKFB8Bq+IzFc6EAhSggLKAT2UnzBzeEOOeScbuE/fx15kw3LgXJwUaKp+XVWtva4lmvm54ukUltG1QQTU7ZtZ5pf1nSloG/j4bpniZttYWeK2/n2KbwlSKbbG3HwvB1eA4vd08kLbhPn8rBo1quultwwoKUKDgAonJ6fh09WX8Lf3daswSFpOCaT+cxXOdqmJ071qwtDDAnQLGnDD71ixw8+ZNBAQE4PLly3rPGTlyJHx8fNCqVSu9bVhBAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAJFJ8Cg0qKz58gUoEABBTxc7TCkS3X5EZeYhgu3YxH4IAFii2XxOlHKhmdlWQYOUhCpu7MtvD0cUFMKSPXzdpaOM0FzbvZLd2IhMggqlT5tvVBBcjdWKSOlnx3R3Qdv/3hWcYhjl6MYVKooxEoKFEwgKi4FUxedkQL14wvWQQHOWr03SPq7OxHvD28AWxvLAvTAU4qTwL59+9C/f39ERkYqTis5ORl9+/bF8ePH4e1t+OzXioOzkgIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFVAUYVKpKxAYUoEBxFnB2sEab+uXlR3GeZ3Ge2+nr0arT69OuimqbwjZoXa8cKrrZQWQk1VdO34iSqmrqq+ZxClCgAAIioHTiVyflwPwCnF6oU45cjMDU78/g07FNYGvNwNJCYRbhyT/99BPGjx+PtLQ0TbO4f/8+fv31V0ybNk1TezaiAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAHTCTBln+msORIFKECBYilwI0Q5M2GNSo5ytldjT15kK32iUQXFYW5Jc3306JFiG1ZSgALaBRKkLe9FhlKR6bmoytmbMfhg6QVkZPLPdlG9BwUdNzMzE5MnT8bo0aM1B5RaWlriiy++YEBpQdF5HgUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEjCzBTqZGB2T0FKECB4i4Q9CBBcYqNaroq1huysrE01rp9wXq7TE7NRHhsCjxc7fS2YQUFKKBd4NNVl/O95b1XeXu0rlce9aq7wKu8A5zsraRgb+BhYhqCwxJx4XYMDksZSKMepmqeyKELEVi64zZG9vDRfA4bFq1AXFwcnnvuOWzbtk3zRFxcXLB69Wr06NFD8zlsSAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACphVgUKlpvTkaBShAgWInEKkS+FVdylRqqlK1ovpYkQwqNdXbwXFKucDmQ3ex72yY5qv0r1sOQ5+ujkY++gPN61cvi+7+nnLW0aNSYOmynbdxNThO0xjLpbZNa7mhqa+bpvZsVHQCt2/fRkBAAC5evKh5Ej4+PtiyZQvq1aun+Rw2pAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEAB0wtYmH5IjkgBClCAAsVFQGwln5yaoTgdVycbxXpDVrppGCsxRXm+hpwP+6JAaRWIfJiC77fc0HR57s42mPNyY3w6poliQGn2ziwtyqBdwwpY9EZLTB5UB3Y26h85RbbTz9deQVp6Zvau+LyYCRw8eBD+/v75Cih94okncOzYMQaUFrP3ktOhAAUoQAEKUIACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUooEtA/Rt+XWfxGAUoQAEKlAqBjMxH8rbVShdjZVlGqdqgdVZW6mOlZ0iRZywUoEChBH7aehMJyeoB2rW9nfHTVH95u/uCDFimTBkEtPWSg0s9XG1VuwgOS8T6/cGq7digaAR++eUXdO7cGREREZonMHLkSOzevRvly5fXfA4bUoACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKBA0QkwqLTo7DkyBShAgSIXsLK0gLVK0GiihsAzQ12IlrHsbS0NNRz7oYBZCoRGJmHnifuq1y4CSr+Y0AzuzurBoGqdVa/khK9fa4EKZdX7+m1vEFJUMiirjcd6wwpkZmZi2rRpeOmll5CamqqpcwsLC8ybNw+LFy+GjY3pMl5rmhwbUYACFKAABShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKCAXgEGleqlYQUFKEAB8xBwsrdWvNDQqCTFekNWhkjBbmrFyd5KrQnrKUABBYF1+4IhshQrFXcXseV9EzjYGu7PW0U3O8x+uTFsrJQ/fkbHp2oKelWaP+sMJxAfH49nn30Wn376qeZOnZ2dsWnTJkyZMkXzOWxIAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAQpQgALFQ8BwkQLF43o4CwpQgAIUyKeAVwV7iCAufeVq0EN9VQY/fi1YfazK5ewNPi47pIC5CKRnZGL3SfUspW89Xw9uzobPLlnLyxmjetfEwo3XFcn/PB6KgLZeim1YaXyBoKAgBAQE4Ny5c5oHq1atGrZs2YKGDRtqPocNKUABClCAAhSgAAUoQAEKUIACJVEgPCYZYdEpSExJR2paJmxtLCFuiK/kbgdXJ8Ovq5REI86ZAhQwb4Hk5GQkJCRA3LguHuK52AkpPT1dfmRkZDx+/ujRI1hZWckPS0vLx8+tra3h4OAAJycnODo6yj/F6zJlypg3Lq+eAhSgAAUoQAEKGFmAQaVGBmb3FKAABYq7QFUPR1y4Hat3mmduxiAlLQO21sbfdv745Ui98xAVItOhnbQ4y0IBChRM4OS1aMQmpCme3LZBefjXLafYpjCV/Tt4Y8vhewgOS9TbzcU7sXgQnSz/mdfbiBVGFThy5Aj69u2LsLAwzeO0bdsWGzZsgIeHh+Zz2JACFKAABShAAQpQgAIUoAAFKFBSBK5IN98fvRSBU9ejcT04DkmpGXqn7uxghXrVyqKprxvaN6yAKhUc9LZlBQUoQIGSIiDWCkNCQtCkSRPFKU+ePBlfffUVRNCoMYoIKG3cuDFOnz6t2P3169dha2uLypUry0Gqio1ZSQEKUIACFKAABSiQQ4BBpTk4+IICFKCA+Qk08CmLbcdC9F54UkoGDpwLR5fmlfS2MURFZGwKTlyNUuyqQY2yivWspAAFlAVOXVP+MybOHtqlunInhay1tCiD5ztXw6erLiv2dFKaa89WlRXbsNJ4AteuXctXQOmwYcPwww8/yIu0xpsVe6YABShAAQpQgAIUoAAFKEABCphWIFkKHBU3x4pHkMINsrlnFZeYjmPSDfTisWjzDdSr7oJn23ujU7OKEGsjLBSgAAWKo0BsbCxEIKZYGxSPwMBABAcHQ+xoJH6KzKMWFhZytlGRTVRfsbOzM1pAqRhTZDW1sVHPCP3KK69g165dEHP19PRE1apVHz9q1aoFPz8/+Pr6ykGn+q6FxylAAQpQgAIUoIC5CjCo1FzfeV43BShAgf8XaCbdLa9WVu8NRGdpwdOY24ms+TsImY+UZ9Lcz125AWspQAFFgbNS5mGlUr2So/Qlh/GDt59qUhFfr7+mmNHjnDRXBpUqvVvGrRs+fDguX76MuXPnKg4k/l345JNP8NZbbym2YyUFKEABClCAAhSgAAUoQAEKUKAkCWRIC5UbDgRj+c47qru+aLmuS3ce4tKdi/h5+y2M6VMLTzbmLh9a3NiGAhQwjkB4eDjOnTsnPy5cuPA4iFTLrkWZmZl48OCBYiBm2bLGX2N2dXVVxRFZVUURGVPv3r0rPw4fPpznPCcnJzm4VASZ1qtXD40aNULDhg3h4+Nj1O/F8kyEByhAAQpQgAIUoEAxEmBQaTF6MzgVClCAAkUhUMndHrW9nXFV2rJJX7lxLx47/rmP7v6e+poU6vi9iET8vj9YsQ9xB7/YlpuFAhQouEDg/QTFk1vXM82fMXtbSzSp5YojlyL1zueOylz1nsgKgwmIYNErV65g06ZNOvt0dHTEihUr0LdvX531PEgBClCAAhSgAAUoQAEKUIACFCiJAjdD4vDJiku4GRJv8OmHRCZh5s/n4V/HHdOer4dyZW0NPgY7pAAFKJBd4MaNGzh+/DhOnTr1OJBUBIUWpohgTbGlvL6iJeBT37laj2sJXA0NDdXUXXx8PE6fPi0/sp8ggk0bNGggB5k2adIE/v7+8nNra+vszficAhSgAAUoQAEKlEoBBpWWyreVF0UBClAgfwJdW3oqBpWK3r7ZcE0OAhNBqIYs6RmZ8iJtWoZymtLW9crB1Ul9OxNDzo19UaA0CUTGpihmBhXXWl/ais1URWREVQoqvRueaKqpcBw9AmIrKxE02r59e5w9ezZHK29vb2zevBliMZWFAhSgAAUoQAEKUIACFKAABShQWgS2HrmHBdLuKqnpmUa9pONXovC/ecfw7osN0KI2d2cyKjY7p4AZCSQlJWHv3r04duyYHEj6zz//ICoqyuACWRlA9XWsJeBT37laj6uNkZycXOhrF8GmR48elR9Z87Kzs5PXREWAqXh06tQJnp7GSciSNSZ/UoACFKAABShAgaIQYFBpUahzTApQgALFTKCHlIFUbL0Un5Sud2aibvqP57Dg1eZwsjfcPx+fr7mKi3di9Y6bVTHgyapZT/nThALJqRm4HPgQQWEJuBeeJP+OJKakw9rSAiLbZDkXG3h7OKKmlxOqVXQ04cw4VH4FYhPSVE/xquCg2sZQDaqojCX+zhFbzYksxSxFJyDuxhfBo2KBNCuDQatWrbBx40ZUqlSp6CbGkSlgAIE7Z/djz48zFHtq8cwYNH56iGIbVlKAAhSgAAUoQAEKUIACpUPgx603sXL3HZNdTEx8GqZ9fwZTn6+LbtJN/ywUoAAFCisQFxeH3r17F7Yb1fPVgkpNkalUbQytWUpVLzZXAxGsmj3QdPny5Rg6dGiuVnxJAQpQgAIUoAAFSr6A4aKCSr4Fr4ACFKCA2Qo42FmhXwdvLNtxW9HgVmg8Ji88hbljmhQ6a6gIFvti7RVsOxaiOKaobFCjLJr6uqm2YwPDCMTEp2LPyQf4+2wYLkkBv+K90lLcpQBT/zrl0KV5JTST3i8LBgNqYTNZm6SUDNWxnA0YMK42mLOD+sdQMWdDBrGrzcnc6n///Xd06NAB5cuXV7z0qlWrykGkHTt2RP/+/bF48WKIO/JZKFDSBVIS4hB2+6LiZSRGhynWs5ICFKAABShAAQpQgAIUKB0CYpemdfuCTX4xYt1t9spLyJB2cerZWv9W0iafGAekAAWKpUBGRgYsLS31zs3DwwM1a9bEzZs39bYxRIVaUKlaFlFDzEFtDLU5GmIOoo+2bdsqdqX2nimezEoKUIACFKAABShQhAIWRTg2h6YABShAgWIk8FynqqhQ1lZ1RleD4zB6/nGcvRGt2lZfg7DoZLzx7SlsPaIeUFpGSlI44Vk/fV3xuAEFgsMSMefXS+j/3kF8LS2kn78VozmgVEwj6mEq/jweiinfncaQjw5j06G7Rt8qzICXX/q70pDwU1v4sGGoHmkYTPz5ZzG8wCMJf+bMmXKAaL9+/ZCamqo6SOvWrSG2y1q5ciUDSlW12IACFKAABShAAQpQgAIUoAAFSpLAr1J20qIIKM1uNP+3yzh8ITz7IT6nAAUogMzMTHkre7GW17JlSwwZor6bSrt27YwupxawqRbwaYgJqo2hNkdDzKFixYrw8fFR7Grp0qWoXr06xo8fjy1btiAxMVGxPSspQAEKUIACFKBAcRFQTxFVXGbKeVCAAhSggFEFHGytMLGfH977+bzqOOExKXjtm1Po2qIShnWrAbVtrLM6jEtMw+/7g7FqbyCSUzOzDiv+7NPWC3Wquii2YWXhBMQ240u23cTGg3ehMSmp6oD3o5KlTLRXsWpPIF7tXxtt6ytnQlTtkA0KLeBgq/8O9qzOxZ9RD1fTZKCMTUjLGlbvT3sb9TnrPZkVOgWSkpIwfPhwrF27Vq4/cOAAxo4diyVLluhsn/1gw4YNs7/kcwqUKgEnB1s0q1tDvqbLt+4hPDquVF0fL4YCFKAABShAAQpQgAIU0C1w4moUfvwjfxn93Jxs0KFxBXlnpRqeTigv3ahvY2UhrXdm4IF0M/2Ne/E4KfV78Hw4kqRjWopYk/to+UX8+KY/vMo7aDmFbShAgVIqEBsbiz/++APbtm3Djh07EBER8fhKb926JQeaWljozxslMmcuW7bs8TnGeKIWsCl2PhI3pzs5OcHR0THHT7EDksi2amVlleNRRsowkJ6e/vghMnyK1+KG+Pj4eCQkJOT42bx5c8VLU5uj4skaK7UE8O7cuROBgYH47rvv5IetrS2efPJJ9OzZE3369EGNGv+uR2kcks0oQAEKUIACFKCAyQQYVGoyag5EAQpQoPgLdGjsgd5tKmvKICquZueJ+9h18j6a1HLDE40qoGENV1T1cIDt/weCie2bQiOTcDnwIY5eipAXUlPStAWTiv5rVHLE+Gd8xVMWIwmIjLMfLLuASCnLqDGKCC6d/uNZdGleEW8MqgMRvMxSNAKu0hceakVkq61Z2VmtmUHq74Yr35Ht4mAFCwumKjUI9v93IhZSn3nmGZw4cSJHtz///DPq1auHKVOm5DjOFxQwJwFr6YuMKpXc5UsODBFf1jCo1Jzef14rBShAAQpQgAIUoIB5CogbXj+WAjm17KYihKpUsMeI7j7o2MQDVpZ5A7qspcBSZwdr1PJyRnd/TySlZEjrrPewYtcdaLm5NlFq/8HSC1j4ektYck3EPH8pedVmKxAeHo5NmzZh/fr12LNnD9LSdN+QHxUVJa/t+fv767VS245d74m5KsqXLw9fX185y6YIEhUPb29v+afIvKlURCCplqyqufsQgaaGKmPGjEGPHj0QFBT0+BEcHCwHeN64cQPiucgEW5iiZi12jBLvZ/aSkpICEWgqHpMmTULTpk0hdpMSD7FGy0IBClCAAhSgAAWKi4DhPpkVlyviPChAAQpQoFACIlvpzZB4ORBUS0di0fX09Wj5kdXe1tpCDgYTd+drXZTNOjfrp7MUUDbrpYaPA1SzjvOn4QTW/BWERZuvGyw7qdLMdp98gKvBcZjzcmNmW1CCMmKdm7MNHO0skZCsP0PGhdux0hcjFY04i/+6FmMplSpSgDqL4QROnjwpB5Teu3dPZ6fTpk1D7dq1ERAQoLOeBylAAQpQgAIUoAAFKEABClCAAqVN4IctNxAdr36jtZQ8D0Ofro5hXWtABI5qLfbSrjEDO1aVA0y/Wn8VYn1MrYj1M7GbUP8O3mpNWU8BCpRwgQcPHmDNmjVyIOnBgwchMnNqKbt27YJSUGn9+vXh4uKChw8fqnYnMoaKwFGxQ1GdOnXk535+fhAPNzc31fOLcwORETXrWnTNMzlZyiwtBZdeu3YN169fx9WrV3HhwgVcvHhR8xb1akGlp0+fzpFpVtc8RBvxmDFjhvweiODSwYMHo1GjRrqa8xgFKEABClCAAhQwmQCDSk1GzYEoQAEKlAwBW2tLKfCvCSZ+dQJBUtbCgpT8ZCPV1b8ISp0zugmqVnTUVc1jBhBYuPE61vwdZICetHchsmBO+PIkPh3bBL5VTJMNU/vszKOl2JJNKZjz8IUITHjWz+gY8UnpOHczRnEcH2muLIYRWLdunbzlfWKi/r/TxV35InvA4cOH5UVkw4zMXihAAQpQgAIUoAAFKEABClCAAsVT4PrdOPxxNER1cmKd8v0RDdGmfnnVtvoaiOyl777YALW9XfCttCanVpZsu4muLSrJWU/V2rKeAhQoWQJiG/fff/9d3hpeZLDUGkia/SpFUOk777yT/VCO5xYWFmjdurWcCTN7hQg0FVvGN27cWA5YFEGLIgBVBF+aYxHX3aBBA/mR/frFOqkINj137hzOnz+Ps2fPytlhc9+sDg+7hAAAQABJREFUL7axb9asWfZT8zwX2UjzU65cuYJPPvlEfoi5vfDCC/KarcgSy0IBClCAAhSgAAVMLcCg0lzily9fxtq1a+W7hpKSkiDu0HJycpLv+Bo0aFCu1tpfHj16FDt27IDYvkCktbe2toZI/S/uJBs4cKD2jtiSAhSggAkEyjpa48uJzTB10RncuBdvghH/G8LJ3krOZlm/Rtn/DvKZQQV+3HrT5AGlWRcgsj9M+e40vnmtBbyZiTKLxWQ/G9d0UwwqDYlMkrIOR6Gp779bQBtrYrtOhCI1XXlrITFXlsILfPjhh5g5c6aUNVpKK61SxKJ2nz59cOnSJdjb26u0ZjUFKEABClCAAhSgAAXMS4Drxub1fvNqS7+A2JJerVhZlsHs0Y3RzM8w6yQia6nIdPrluquKQ4tdZn4/cBfDu9VQbMdKClCgZAiIwNHt27fLgaSbN2/WnAVT39WJm8LFOp74/lpf6dixI6KiouTvocV30eIhdikSAacsygLCKCvD6YABAx43DgkJwfHjxx8/bGxsIAJLlYoIAC5oEVlT3377bUyfPh1PPPGEHGAqYhVcXV0L2iXPowAFKEABClCAAvkSYFBpLi6RoenMmTO5jv77sly5cujcubPOOqWDixcvxujRo/V+mR8REQHRNwsFKECB4iTg7myLBROb4+MVF3FIyl5oiiKCDD8c2RDVK+lfDDHFPErzGFsO38PK3XfyfYlim6/K5exRyd1e3kI9PfMRYqQA0aAHiRBZJ/NTYhPS8Oai0/h+sj9EADOL6QRa1HZXff+X7rhj1KBSEUy6eq9yllzx+9bMj0GlhfnNENs3jRw5EqtWrdLcjbg7f/bs2Qwo1SzGhhSgAAUoQAEKUIAC5iTAdWNzerd5raVd4H5UEvafC1O9zNf61zZYQGnWYH3bV0Hg/QRskLa4Vyq/7w/GC12qwcqSAWBKTqyjQHEWuHXrFsR3xD///DNCQ0MNNtW0tDTs27cPvXr10tunCEYUDxbDCVSuXBl9+/aVH1p6FbtGHTp0SEtTxTYiWcD+/fvlx6RJkyACXUeNGoUOHToonsdKClCAAhSgAAUoUFgBBpXmEqxQoUKuI/+9XLBgQb6DSsXdYuPHj9cbUNq/f38GlP5HzGcUoEAxE3Cws8LHoxpj3b4giOyWhd3WXunyevh7YmJ/PzjY8p8mJafC1IltvRasV86EkLt//7rl0L2lJ0QwoouOAFCxoHE7NAH7zoZh27EQhMek5O5C5+v7UcmYvfKinO2hjIggZDGJQOOarihf1hYRsfrfpzM3orH31AN0albRKHMSmUAeRCcr9t20lhvKuSjf5a3YgZlX3r9/X17cPHbsmGYJT09PbNy4Uc5aoPkkNqQABShAAQpQgAIUoIAZCXDd2IzebF5qqRfYdeK+9J2N8mW2rlcOAW29lBsVsHZcX18cvxKJexFJensQN2UfuxSJdg31f2el92RWUIACRSYgdqsU29v/9NNP+Ouvv/R+P1zYCYoMmEpBpYXtn+cXXuDAgQPy7qWF7+m/HsQuq8uXL5cfIpuqCC4dPnw4PDw8/mvEZxSgAAUoQAEKUMBAArzFMRekyOikr2zduhW3b9/WV53nuEiDL4JGU1NT89SJA3Xr1pXvUNNZyYMUoAAFipHAgCerYunbrfFEI8MvYtas7IQvJzTDtCH1GFBqxPc8PSNTzjqblqGyYv7/c2jm64YlU1vh0zFN5OBCXQGloqkICPWR3sOXevhg1Yy2mDSgNpzstQUGH5UWxrceCTHiVbPr3AIWFmXQrWWl3IfzvP587RWERur/YiPPCRoPnLsZjZUatpfr3spTY49slltAZNwX21nlJ6C0adOm8rZN4jwWClCAAhSgAAUoQAEKUEC3ANeNdbvwKAVKosBfp5WzlErLJ5jwrJ/RLs3GygLjnvFV7f+vMw9U27ABBShQvAREgiKR3Xzv3r0GDyitVq0axo0bhy1btuCTTz4pXhfO2eQRePrpp3H06FG89957aNGihfxdSp5GhThw7do1TJ06Fc8991wheuGpFKAABShAAQpQQL8Ag0pz2YiU8VWqVMl19N+XmZmZWLhwoc663AfFnWj9+vWDyBSlq7i5uWHz5s0oW7asrmoeowAFKFDsBMS25x+ObISf3vRHZymDoVj8LExpJGVM/Ph///bXRMpKyGJcgbV/B+OOtLWWWrGyLINXpYyxn7/STA4WVWufvV5sxyW28Fr6VmuIjJhayg9bbyAmXvfNF1rOZ5v8C/Tr4K365zc+KR1Tvz9j0Pfmdmg83ll8DhmZyoHNHq626NTUOFlS869Vss4QmUbbt2+P4OBgzRMXn1cPHjyo9/Ov5o7YkAIUoAAFKEABClCAAqVcgOvGpfwN5uWZjYBYh7olrVEolQ6NPVClgoNSk0LXtWtQHlUrKo9x6np0ocdhBxSggGkFRNZIGxsbgwxqaWmJJ598EvPnz8fFixdx584d+Xvq3r17w8FB+e8Pg0yAnRRKwMLCAq1atcKsWbPwzz//yDEDS5cuxaBBg+Dk5FSovrOf/PLLL2d/yecUoAAFKEABClDAYAKFiwgy2DSKT0dWVlaYOHGi3gktXrwYiYmJeuuzKsSW9/oyRIkx1q5di1q1amU1508KUIACJUaglpczZgxrgN8/fAJTn6srB3+5OakvktjZWMhbqI8JqClntFwwsbm8fRO3Pjf+W5+QnI6Vu++oDmRrbYE5LzdGvye8VdsqNSgnba/+2fimeKqp+pYrcYnpWLUnUKk71hlYQGwr37ttZdVeg8MSMeGrE7gbrv65R62zc7di8NrXJyHeb7Uy9OnqEAHKLPkTmDNnjnxDU0KCevB4Vs9vv/021q1bx0XoLBD+pAAFKEABClCAAhSggIIA140VcFhFgRIkcF5ao1ArPfyNv4OKWBPt3lJ5nKiHqbgXUfh1GbXrZT0FKGA4AbENubiJu6BFBKR2794dP/74I0JDQ/H3339j8uTJqFevXkG75HnFRED8bgwbNgy//fYbIiIi5ORTI0aMgLu7e4FnWNjftwIPzBMpQAEKUIACFDALAW3705oFxX8XOXr0aHzwwQfQ9aV8dLS0bevKlRBt9JVvv/0WS5Ys0VeNL774Ap07d9ZbzwoKUIACJUFAbHHes3Vl+SHmK+7yD5KC0GLiUpGYkiFlI8yUt7N3drCW7uy3R0U3O4Nv71ESnIrDHDccuAuReVKpSOvYmPVSQynwt5xSM811IijwnaH1kZCcgeOXIxXP23zoHl7oUh0ujtaK7VhpOIGXuvtg76kH0p/bNMVO74Yn4eX5x+Ut33pIW9LnNwg8LT0Tv0oBzct23lHNUCom4lvFGb3beCnOiZU5BUR2fPG5dPny5TkrFF7Z2trip59+wtChQxVasYoCFKAABShAAQpQgAIUyC3AdePcInxNgZInEPhA+WZMa2kXnya+ptlVqVW9cvhh601FxMAHifAqz4yEikispICJBGJiYnD8+HF07dpVccSxY8di9erVim2yV1pbW8uBpIMHD4bIQspdLrPrlM7nYn02ICBAfqSnp8vBw+Lmf5GUKioqSvNFjxw5UjUz7tmzZ2FnZ4fatWtr7pcNKUABClCAAhSggBBgGigdvwdia3qxPYG+8vXXX+urwv79+/H666/rrR8zZgwmTJigt54VFKAABUqqgKuUrbSRjyvE9lDdpbv5e7X2kjJVVpSzk1Zyt893MFpJdShu83706BG2HL6nOq3h3Wqgdb3yqu3y00AEls54sT7EduZKJSk1A7tO3FdqwjoDC4hg71f7aVtEEkHin66+jDGf/YO/zzxAekam6mwSU9Ll37ths4/g5z9vawootZK+tJkyuA4sLKQIZxZNAmFhYejUqVO+AkorVqyIv/76iwGlmoTZiAIUoAAFKEABClCAAjkFuG6c04OvKFASBe5JN9AqFZ/KTrC1tlRqYrA6H08n2Eg7BykVQ+wgo9Q/6yhAAXWBBw8e4K233kLVqlXRv39/iARESkVsWa+WWVTcvN++fXt89913ckbSzZs344UXXmBAqRJsKa0T2fC7dOmCRYsWyb8LmzZtwqBBg+RAUKVLtrCwgIg7UCsibkH8Pg4cOBCnT59Wa856ClCAAhSgAAUo8FhA+X+rj5uZ35PXXntNbwDU+fPnsW/fvjwowcHB8geytDTdWb86duwIpYDUPB3yAAUoQAEKUKCQAmdvxuBBdLJiL9UqOkJsOW6MIoIXJw1QD17c8U+oMYZnnwoCnZpVlLKCVlZokbPq2t04vP/LBTw74wBmLT2PtX8H4fDFCIit7c/eiMaBc2FyVtK3fzyLZ989gM/WXEFopPLvXvYRxvaphdreLtkP8bmCgPg86u/vj8OHDyu0ylnVqFEjOZtCmzZtclbwFQUoQAEKUIACFKAABSigWYDrxpqp2JACxVLgYaLu72+yJmvKrKAiqMxTuhlfqcSrzFfpXNZRgAKFEwgKCsLEiRNRvXp1zJ07F3FxcYiPj8fChQtVOxbZSnWVWrVq4eOPP8atW7dw4MABiHblyhlm9zBd4/FYyRKwsbFBnz598Ntvv0EEM//8888Q8QW6dhDr3r27/LupdIUnTpyQEwxkSjsLikyozZo1Q8+ePXHw4EGl01hHAQpQgAIUoAAFZAEGler5RfDz80OvXr301CJPcGhycjL69esHkTFKV/Hx8ZE/rIktDFgoQAEKUIACphI4fCFCdahRvXwgsooaq7RtUAH1q5dV7F4ELEbGpii2YaXhBV7tXxuNa7rmq+O4xHT8dToM3268julSAOmrC07itW9OYcaS8/KWbUekQNOUNPVsptkH7dHKEwOerJr9EJ8rCGzduhVt27ZFYGCgQqucVWIx8tChQ3JGhZw1fEUBClCAAhSgAAUoQAEK5EeA68b50WJbChQ/gSRpRxal4mhvpVRt8DpHe+WsqGIHGRYKUMC0AiKYdNSoURABoN988w3Ed8DZi0gglJKivJY9bNgwODg4yKeJrcdFFlKxe9C1a9cwffp01WDA7OPxuXkKuLi4YMSIEY9/b6ZNm4ZKlSo9xhg3btzj5/qezJs3L0/V9u3b8cQTT0Bk1BU7sLJQgAIUoAAFKEABfQLGiyDRN2IJOj5p0iS9s924cSNEZtKsItLLi7t9dBVnZ2eIbQt4p5kuHR6jAAUoQAFjCpy6HqXYfUU3O7RvWEGxjSEqB3b0Vu3m1HXlbYNUO2CDfAvYWFng41GN4VfFOd/nGuoE8fs3ZXBdQ3VX6vsRnz/FNlsiK4LWMnXqVGzYsAFOTk5aT2E7ClCAAhSgAAUoQAEKUEBBgOvGCjisokAxF7CwKKM4w4yMR4r1hq5UG89SZb6Gng/7o4A5C4SGhmLChAnw9fXF4sWLoW9nSpFBctmyZYpUZcuWxTvvvIMFCxYgJCQEK1as0JtxUrEjVlJAEhABznPmzJFjE8Q67/Dhw+WMo0o4Ihvu+vXr9TYRAaUisLRbt27y7lZ6G7KCAhSgAAUoQAGzFWBQqcJb37lzZ4htQnWVjIwMfPfdd3LVV199pfc/DxYWFli5ciXq16+vqxseowAFKEABChhNIC09E7dClAPPnmrqoXPrFENPqk398rC1Vv7YcSXooaGHZX8aBJykDBxfTmiGpr5uGlobtonIUDrrpYbgFyTaXb29vfHZZ59pOkFslyS2SBLbc4nPpCwUoAAFKEABClCAAhSggGEEuG5sGEf2QoGiEHCwVc4MGpuQatJpxSakKY6nNl/Fk1lJAQpoEoiIiMCbb76JmjVr4ttvv0VqqvrfA/Pnz4fYUlypiIykEydOhJub6dddlebFupIrYGVlhb59++KXX35RXe/9/PPPIeIZ1MrOnTvRqlUrPPPMMzh37pxac9ZTgAIUoAAFKGBGAvx2WeXNVrrr/Mcff4RIET9lyhS9vXzyyScICAjQW88KClCAAhSggLEE7kUkIlMluUIzX3djDZ+jX1trSzSoobzNenBYQo5z+MJ0Ag52Vvh0TBP061DFJIOKINLxz/hi2vP1GFBaAHGRMUFte6MKFSpgz5498hZJBRiCp1CAAhSgAAUoQAEKUIACKgJcN1YBYjUFiqmAu4ut4syCwhIV6w1ZmZKagQfRObfVzt2/m7NN7kN8TQEKGEggMTERH330EWrUqAERJJqUlKS5Z7GNvdilkoUCxVEgMjJSTjaQn7mJ3+cmTZrghRdeQGBgYH5OZVsKUIACFKAABUqpAINKVd7YIUOGwMPDQ2crcedaz549kZ6errN+6NChmDZtms46HqQABShAAQoYW+B+lPKitBi/ZmXTbYftU9lR8ZLvqyyiK57MykILWFtZ4NV+tfHJqEao4Kr8BUthBhO/c99OaoFBT1UtTDdmf67YOktkR9JVRIb8Y8eOoX379rqqeYwCFKBAqRAIvX4Gt07uVXxkpCtnfSoVELwIClCAAhQoMgGuGxcZPQemQKEEvCs4KJ4fLAWVxsSrZylU7ERj5cU7sXikckO4t4fyeprGodiMAhTIJiAyjC5duhR+fn6YMWMG4uOVd/vKdmqOp59++mmO13xBgeIiIDLuiqDp/JZH0j9Kv/76K+rUqYO33noLsbGx+e2C7SlAAQpQgAIUKEUCVqXoWoxyKba2tnImqFmzZuWrf5EmXmQyZaEABShAAQoUlUBisvLWJmXKAOXKGi94MPd1V3C1y30ox2u1+eZozBdGE2jboAKaShlsV+25g/X7g5Gg8nukdSLlpd+1F7pUQ592VZidVCuaQjux1dHatWvRunVriMwIWUXc8LR69Wo4OztnHeJPClCAAqVSYP/y2VJA6R7Fa3tt1TU4uJgmK7viRFhJAQpQgAKlUoDrxqXybeVFmYGAj4YbrA+cC0dAWy+ja4hx1EoNTwaVqhmxngL5ERA7+4gdKM+cOZOf0/K0bdmyJaZOnZrnOA9QoDgIPPvss7h8+bK8fpyRofw9ka75JicnY+7cuVi8eDHef/99jBkzBmI9moUCFKAABShAAfMSYKZSDe/3+PHjIRYJtRYvLy9s2LABdnbKwTNK/Yk7gU6cOIEffvgB7733HkaNGoWxY8fiyy+/xI4dOxAUFCTdwapyC6vSAKyjAAUoQIFSL5CcprxYYGtt2o8BdirjpajMt9S/YcXoAu1tLTGyZ038NrM9xj1TC4X5AqOhjyumPl8Xq2a0xbNPeDOgVOP7rOUucDc3N2zZsgXipyhvvPGG/JoBpRqR2YwCFKAABShAAQpQgAKFFCiKdeNCTpmnU8DsBepVd4GNtFuLUtl65J5StUHqElPSsfvUfcW+xHqMq5ONYhtWUoAC2gRu3ryJgIAAdOnSpVABpU899RR27dqF48ePo2/fvtoGZysKmFigYcOGWLVqFa5cuYL//e9/sLEp2L8lYtfWCRMmoEGDBti5c6eJr4LDUYACFKAABShQ1AK8pUTDO+Dh4QGxndHPP/+s2tre3h6bNm2Cp6enaltdDW7fvo3PP/8c69evR2hoqK4mj4/VrVsXixYtQocOHR4f4xMKUIACFKBAloCdtWXWU50/U9IydR431sFklfHU5musebFf/QJO9lYY/FQ1+RF4PwEnr0fh3M0Y3JGe3wtPRFpGzhtc7GwsUEXaRk5k/WhS0w0tarvDw63gN9non1nprUlLS8Mrr7yCQ4cO4ciRI3BxcVG8WLFNl8hYKj5DipuQWChAAQqYo4CdjTWsxece6Z+luMRkcyTgNVOAAhSgQBEJmHLdOOsSRaKBkydP4tSpU7h79y5CQkLkzFFim1KxXiwe3t7eKCO2J2GhAAXyCNhKnxsb1XTFiatReeqyDlwNjsORixFoU7981iGD//x9/13ps2u6Yr8ta5dTrGclBSigLpCUlITZs2dDbFWfkpKifoKeFr169cI777yDNm3a6GnBwxQofgK1atXCTz/9JGcbnT9/Pr7//nuILKT5LVevXkW3bt3Qr18/OY6hWrVq+e2C7SlAAQpQgAIUKIECDCrV+Ka9/PLLmoJKReBp8+bNNfb6X7PExERMmzZNDhJNT1deSMg6S6Stf/LJJzFixAh89dVXqkEHWefxJwUoQAEKmIeAo51yUKlIeB0RmwKxLbkpSniM8mKFvcp8TTFHjqFfoFolR4hHPynbqCjii8yk1AwkJWegjJTgw8HWCnY2yr9z+ntnjRCIiorCgAED8Ndff8kggwcPxtatW2FpqezauXNnAlKg1AsEnjuIsztWGPQ6Y8PvqvZ36cBGhAdeUW2XnwY1Wz6N+h375+cUtlURaODnDb9qlZCWnoG1O46ptGY1BShAAQpQwLACxl43zpotkxFkSfAnBQov8HTzSopBpWKEr3+/hia13CB2czF0CY1Mwopdt1W7fbpFJdU2bEABCugX2LhxI15//XXcuXNHfyOVGpHZ9MMPP0Tr1q1VWrKaAsVXoEqVKvJuqFOnTsVHH30kB5qK5Ab5Lb///jv+/PNPTJ8+HVOmTMnXTq/5HYvtKUABClCAAhQoegEGlWp4D0TQhMgeqqWIIM+ClOHDh2PdunUFORW//PILLCwssHjx4gKdz5MoQAEKUKB0ClRyt1e9sJsh8SYLKr15L15xPlrmq9gBK00qILLeiEBS8WApvIC427t37964cePG487EAt3kyZPlBb/HB/mEAmYqEB16Gxf/Ltj/lwpDFnbrAsTDkMXJvSKDSg0Jyr4oQAEKUIACRShginVjJiMowjeYQ5dagScaV8CC3y2RIN0oq6+ESIGfX6y9gulD6+trUqDjqemZmLX0ApJTlXcQquXlBN8qzgUagydRgAKQd/QpzPem7dq1k4PvOnbsSE4KlBqBypUrY+HChRDBpR988AGWLVuGjAz9/xbqunDx2fTdd9/F0qVLcfr0aTg6OupqxmMUoAAFKEABCpQCASmvFIuawIwZM+RtRdXaifpvv/1WS7M8bQ4ePJjnmDjg4OCAJk2aoFWrVoqZSJcsWYLdu3fr7IMHKUABClDAPAUql7eHhcpud6eu6d/qy5BqKWkZuHAnVrHLqh4OivWspEBpFdi1a5ec7SB7QGnWtYps9D/88EPWS/6kAAUoQAEKUIACFKAABYqRgCnWjUUygm+++QZad7fKziOSEYgMbSwUoEBOAXGDbN/2/+7EkrMm56udJ+7jx63/3fyZszb/r9IzMvGBFFB6Jeih6slDOldXbcMGFKCAfoGePXvqr1Soady4MbZv3w7xvS0DShWgWFWiBapXrw4RW3Dp0iUMHDiwQNci/nwwoLRAdDyJAo8FxGfDxJR0eWfAxwf5hAIUoEAxEmBqKZU3Y8WKFfj4449VWv1XvWjRIjnlu729ena4/84CMjP/uyvV2tpa/gD36quvwt/fHyITmCjizvfNmzdDbKkUFhaW/XT5+aRJk3DhgmGz6OQZhAcoQAEKUKDECFhbWaCmlzOu343TO+e9px9gTEAtKeO1SvSp3h60VRw6H4HUtP/+rdN1Vp2qLroO8xgFSrWAuCHptddeU7wjfMKECfD19cVTTz1Vqi14cRTQKuDkYAufKhW1NtfUzt7W+nG7qpXLoayzYW90uBcWhcgY5YzdjyfAJxSgAAUoQAEKlAgBU60bKyUj8PPzk7cdvXz5Mh4+1B2kJgIGnn/+eYjte1koQIH/BAZ29MamQ3cRn5T+30Edz1buDkRcYjom9vODWGsraIlLTJMzlJ64qn6Dd41KjujYxKOgQ/E8ClBAEujXr5+8K9DWrVs1eXh5ecmZSYcNGybvDqnpJDaiQAkXEJ8l16xZg6NHj8o7Zh0+fFjTFVWoUAFz5szR1JaNKEABQCTeuXg7FqeuR8vf2QaHJSIiNgUig31WcbC1hEgWVNXDEfWrl0VTPzf4eDplVfMnBShAgSIRYFCpArv44DRq1CiFFnmrIiIi5FTxY8aMyVupcMTT01MOFO3atSu+/vpriA9xuYsILn3mmWfQokUL1K9fH7GxOTO+ibuJ4uPj4eTEf1xy2/E1BShAAXMVaObrphhUGh6Tgv3nwqSFasMG5+T2XrcvKPehPK+bSnNloYC5CIgsQyKYVGw3pFbS0tIwYMAAHDt2DLVq1VJrznoKlHoBJwc7NPCtYrTr9K5UDt6VDNt9Ukoqg0oNS8reKEABClCAAkUqYMp1YyYjKNK3moOXYgFXJxv8r6cPvlp/TfUqNx++J2cXffO5ugXakv7opQh8vuYKwqR1OC1l0oDaRr8BXMs82IYCJV1AZPreu3cvxHbd+or4TlVsBT558mR590h97XicAqVZoHXr1jh06JC8c+vbb7+NmzdvKl7u/Pnz4e7urtiGlRSgAHBJ2sFx65EQ/H3mgZSRNEORRNTfuBcvP0RCIFG8pCDTbi090bttZbg72yqez0oKUIACxhAo+G2VxphNMerzzp076Nu3L1JStP0nP/vUv/zyy3ynqBZ3AZ08eRI7duzQGVCavX9xt9ysWbOyH5Kfi0ymzFSah4UHKEABCpi1QLsG5VWvf8m2WxBbLBirHJCCVi8F6s6YkjVmbW9nlHPhf4iyPPizdAvExMSgR48emgJKsyTE57zQ0NCsl/xJAQpQgAIUoAAFKEABChSRgKnXjUUyAlFEMgKx9rty5Uq0atXq8e5Woi4rGcGpU6dQtmxZcShHyUpGkOMgX1CAAnimXRU09HHVJHFN2gno5c+O4/1fzuPcrRjVc8Ra2+EL4Zj0zUm89cNZzQGlfdp6oXEt3nitCswGFNAgUK1aNcycOVNnS/Fv58iRI3H9+nXMmDGDAaU6lXjQ3AQGDhwI8bnxs88+g4uL7p3lxLb3IqMvCwUooF9AZCV9/dtTGP/lCWw7FqIaUKqvp3sRSViy/Raem3UYX627iui4VH1NeZwCFKCAUQSYqVQHq9gqqHfv3ggPD9dRC9SpU0dOBd+0aVOdW5VeuXIF27ZtQ69evXSer+ugrsykutplHevfvz/Edve5i9jqSNxNxEIBClCAAhQQAmJhvJK7He5HJesFCZK2WVi647aUnaGm3jYFrYhNSMMCDRkfuvn/+yVZQcfheRQoKQJioTogIABXr17VPGXxOXHLli2qNx5p7pANKVDCBe5HxGLVtiMGvQp3F0d0a99I7vPw6WsIDI00aP8iMJyFAhSgAAUoQIGSL1AU68YiGYHYnapZs2aqgFnJCHKvG2clI+C6sSohG5iZgIVFGbw3rD5GzTsOsYalVsTH+r/PhMmP8mVt0aSWq7wtaTnpua21BZKkDFNh0cm4LmWZOnMjGvFJ6Wpd5qivWdkJrzzrm+MYX1CAAnkFxK4+IlhU7Oyj9u/j66+/juXLl+dIytO8eXN8++238k0aeXvnEQqYt4CNjQ3eeOMNDBkyBG+++SZWrFjxGETUfffdd49f63uSkJAg79L1wQcfoHLlyvqa8TgFSp1AXGIaFm66ju3HDJsgJDU9ExsO3sWuk/cxundN+caoUofHC6IABYqlADOV5npbMjIy8Nxzz+HixYu5av59Ke7K2bhxIxo2bCgHnupsJB38/PPP9VUZ5HiVKlVga5s3o5u4s46FAhSgAAUokCUg/l0QGQ7Uyopdd3DovO6bKdTO1VcvMjJ8sPQCwmOVs37b21ri6eYG3mdY36R4nAJFKCC22xIZhfITUNq5c2ccPXqUAaVF+L5x6OIpIAIjDPnIzBb0KZ4asm/RFwsFKEABClCAAiVfoKjWjcVNZmoBM9l1RTICXUUkI2ChAAXyClRwtcPHoxrBRgoKzU+JkNa7dp98gB+23sTslZekDKYXMHfVZfz8520clNbY8htQKoJUPxndWApOtczPNNiWAmYnILIoivW12bNnY/jw4ao7TlpbW2PRokVyVm+xXbd4fvz4cQaUmt1vDi84vwKVKlWSA7IPHDiARo3+vRF72rRpcvIttb6mTp2KxYsXy/EU69atU2vOegqUCoGL0lb34kYlQweUZscRny+/WHsV0386CxHAykIBClDA2AL5+1+ysWdTDPoXd95s375d50xEYI64m6127dpy/YQJE3S2EwdF0MDZs2f11he2Ij09HeJOvNylYsWKuQ/xNQUoQAEKmLlA3/ZV4GSvnJxcxLvMWnYBxy5FGERL3DUnAkpPXotS7U/Mz9nBWrUdG1CgJAt8//336NatG6KjozVfxrhx4/Dnn3/CzY3b3mlGY0MKUIACFKAABShAAQoYSaCkrBszGYGRfgHYbakWaFDDFR+81BA2VkXzlZmrkzXmjW2Cim52pdqZF0eBwgiIGza//vpriCyjp0+flru6cOGC3u3ts4/Vrl07LF26FNeuXcOYMWNgYVE0f9azz4nPKVBSBNq3b49Tp07hxx9/xPTp01WnvWfPnsfZTKOiojBw4EA5AFxk/GehQGkV2HvqAV77+iQeSBnrTVEOX4jA2M//QWhkkimG4xgUoIAZCyhHmJgZjEjXvmDBAr1XPWPGDPTp0+dxfZcuXVC3bl3ou8tbZCsV/0kxRgkKCkJmZmaerhlUmoeEByhAAQqYvYCDnRWGda0hb7mghJGalind3XYOY/rUwqCOVZWaKtaFxSTLAaUXbscqthOVLg5WeL5TNdV2bECBkiogshmJL5+VPmPmvjZLS0t88cUXmDhxYu4qvqaA2QrUfaIvqjZoa9Drv336L+z87i3FPv2fHY+mPYYrtslvpZ2Ta35PYXsKUIACFKAABYpYoCStGzMZQRH/snD4EivQul55ObBTZH5KSM4w2XV4lrOTxm2KKhUcTDYmB6JASRMIDQ3FiBEjsHPnzjxTnz9/Pvr27YvWrVvnqct+4MUXX8z+ks8pQIF8CIj16lGjRqmeIQJHR44cKe8AlL3xsmXLsH//fjl5lwhSZaFAaRLYcvgePltzxeSXdC8iCa98dQJfTWgObw9+jjT5G8ABKWAmAgwq/f83eteuXXj11Vf1vu29e/fG+++/n6f+lVdegb6MpatXr8acOXPg6emZ57zCHti4cWOeLuzs7ODr65vnOA9QgAIUoAAF+nWogu3HQ3A7NEERIyPzERZuvC5v0zWhry/8vF0U22evFNlJNx+6i5+339K8+C4CWF0cmaU0uyOflx6B2NhYPPfcc3K2Ua1XVbZsWaxZswZdu3bVegrbUcAsBGwdnCEehizhgeqLfQ4u7nD3qmnIYdkXBShAAQpQgAIlTKCkrRszGUEJ+wXjdIuVQONabvh+sr+0lf153LgXb/S5talXDm+/UJ9rY0aX5gAlWUAEkg4dOhTh4eE6L0Pc0D18+HCcOXMG9vb2OtvwIAUoYBqB119/HeKzqK5y584ddOzYEbNmzcLbb7/NjMG6kHisxAnsOxuGz9eqrzEb68KiHqZiynen8e2kFihf1tZYw7BfClDAjAUYVCq9+VeuXMGgQYMg7uLWVfz8/LBixQqUKVMmT/WwYcPkDz5xcXF56lJTU/HNN9/g448/zlNX2AMiYDV36dWrF5ydDftFa+4x+JoCFKBAcRW4H5WEMzdipKDJeASHJyImLhVJKRmQYiThYGcpZcS0lu/4r17JEY1quqJaRcfieilGmZeVpQXefbE+xn1+AiL4U62cuxmDlz/7B8393NC1pSf865SDm7NNntMyJeDr9+Kw/2y4HLQq/gOjtbRrUB69Wntpbc52FChRArdu3YK4KUlfRntdF1OzZk1s3boVderU0VXNYxSgAAUoQAEKUIACFKCAiQVK4roxkxGY+JeEw5U6AZExdOHrLbH0z9v47a9ApGdIi4sGLk72Vhjduyb6tPXS+b2TgYdjdxQokQIiWPS9997D7Nmz82Q9zH1BYlt7EaT25Zdf5q7iawpQwEQCf/zxB5YsWaI4mvhz/e6772Lfvn1y7IWHh4die1ZSoDgL3AqJx8crLkr/RuVvljU8HdGkphuqSz/dpe9dbawskJSaIW1lnyzd1BSHk9eiEBOfprnTB9HJeHfxOXzzWnOI74JZKEABChhSwOyDSiMjI+Uv/GNiYnS6iiBNsRAnskbpKqJe3AEngkd1le+//x7vvPMOHBwMl3L60KFD+Oeff/IMN2TIkDzHeIACFMi/gMjUeC34oRSgGI1bIQkICktAtAhQlD7QZUiLiGIrcWdpy26xwCgCExv5uKKh9LC3tcz/YDyjUAL3IhKx45/72HPyPkSaf7Vy7HLk4ybijq1OTSuim38l1KxsHgH54jonDaiNT1dffuyg9uTktWjpPzDRcjMPV1tULm8v/xkQC+oicFcE8Irg3fwWsbXXW0Pq5fc0tqdAiRAQW/n069cP4nOm1iLu0l6/fj3c3d21nsJ2FKAABShAAQpQgAIUoIARBUriurHgYDICI/5SsGuzERBf7ougz+7+nvKOPH+feSDfuF5YABtrC/RuUxnDutaAq1Pem7cL2z/P1y+QmJyORGkNU6z929tYykkIGHih36uoa+7du4fnn38eBw4c0DyVBQsW4Nlnn8WTTz6p+Rw2pEBxF7h76Rg2zxurOM1mvUai9YCJim2MXRkVFYXRo0drHkbsBNCkSRP8+uuvcvZSzSeyIQWKiUCyFDMwU8psn5qmnsRHTFl8tuzVujL6PlFFNemR+Kxy4moUftsbiFPX//1+Vu2yrwQ9xA9bbmK8tAMlCwUoQAFDCph1UKnIJCq+8L9586ZOU5GZdOnSpahbt67O+qyDr7zyCr799ludd8qJxUfRx7hx47KaF+qnyKY6fvz4PH1UqVIFPXv2zHOcByhAAe0C4gPX9mMh+Ov0AzxM1J25WPQmFp8iYlPkbcQP4N8tV6wsy6B1vfLyQmPb+uWlbRvyZjbWPhO2VBO4GRKH5TvvQGwrkN87wLL6Fu/hmr+D5EeL2u4Y1q2GHCCcVV9af/aU/tMi7lpbuuN2vi8xLCYF4lHY4upkjXljm0rB2dz2vrCWPL/4CSxevFj+3JeWpv1O0lGjRmHhwoWwtuafieL3jnJGFKAABShAAQpQgALmKFAS143F+8RkBOb428prNqaAt4cD3hveACN7+uCPoyHYfeI+wqU1xfwWkZigW8tK6NGqss6dgPLbH9srC4h1XxGMcfp6FG5KWcTuSjfFJ6fmDPoQGxNWcreTAztEwohmvm6oU9WFmWOVaU1Su2PHDnm7+4iIiHyN16hRI5QvXz5f57AxBYq7QFpKMmLDghWnmRyvO3GW4kkGrrSyskKnTp2wcuVKzT2HhoaiS5cumDlzppy9VNeOsZo7Y0MKmFhgmfQda3BYoqZR/euWw+tSwh/Pcvaa2ltKMQatpHPE4+ilCHy25grCNXw3u3ZfEDo3r4ja3i6axmEjClCAAloEzDqodMyYMRCZpPSV6dOny3e16avPOi62KO3cuTN2796ddSjHT7HdwtixYw3yn1Fxp925c+dy9C9eiEAEOzu7PMd5gAIUUBc4dysGv2y/pfluH109iqyNB8+Hyw8vKZPj0KerSwuFngwu1YVViGPxSelY/MdNbDx0t8DBpLqGF4uM4tG5WUWMf8YX5aQspqW5vNTDR9q6KxMrdwea/DLdXWwwXwooFZl+WShQ2gTE1j0ff/yx5suytLTEvHnz8Prrr2s+hw0pQAEKUIACFKAABShAAeMLlMR1YyYjMP7vBUcwXwGxjjUmoBZelrKX3rgXLwUrRuOqtNOVCCYQN2+LXXxS0zNhK2UidZS2tvd0t0dVKSC1XvWyaCoFK3IdzPi/O2Kt8+8zYdgmBf+elnYgU0tEIOrFNrPicfTSvzvNiCDTri0q4Zl2VUr9+rDx35GCjSC2uhfra5mZOYOAlXqzsLDA5MmT8dFHH8HGhhmAlaxYRwFjCbi4uMjb2QcEBMgJF6KjtWVXzMjIwHvvvSfv0LpixQqIflgoUNwFxM0qv/0VpGmao3r54IUu1QscJyQSWi1+s5WcFVV8/lQq4rPNl+uu4rvXWyo1Yx0FKECBfAmYbVDp3Llz8csvv+jF6tGjBz744AO99bkrJkyYoDeo9Nq1a9i6dSvEB6nCFJFR9f3338/TxeDBgwvdd55OeYACZiAgtrRfuPE6dklbpxuyiG3Y5666jI0H72LyoDrw4x1BBuG9dCcWs5ZekBdqDdKhjk72nHqAf65E4u0X6qONlHG2NJfRvWvB3cVW/jMgtlIwRaleyRGzRzfWfDeeKebEMShgSIFmzZrJiwOP1L65kAYVC2SrVq1ipnlDvgHsiwIUoAAFKEABClCAAgYQKInrxuKymYzAAG8+u6CAioDIouZbxVl+qDRltYkExBrMn8dDsWznbTlAtDDD3o9Klvq5g1V7AiF2exI35rs6MUixMKZaz42Pj8eIESOwfv16rafI7apWrSrvFtmxY8d8nVecGh9YORfxUQ/0TsnKxhZPj5mtt54V5iNgb2uDtk195Qu+fCsEIWHKAWZFISNiFtq1ayf/ed6zZ4/mKWzZsgX+/v7YsGGD6g6ymjtlQwoYSWDFrjvQ8r3qGwNro490o0phi4ujNT4d0wTvLj6HY5f/vRFGX5+XAx/imJTdtJUUjMpCAQpQwBACZhlUumnTJrz99tt6/WrVqoX/Y+8+wKOovjaAv6T3hJAeCIRO6L0JCIigAlKkioIgIkVRlA8RG6KiICIqiCiCIApIE5AoTQSkQ+gttBBCgJBGeuWbu/6jBLIzk2R2s+Wd51mTnXvmzr2/jWEze+bcn376SaowaKM35v6G7t27o3LlyoiKKrrqm6hWWpqk0vT0dPTp0wcpKSmFTl2hQgXdBcNCO/mEAhRQFDhyPgEfLD2FBCmx1FDbuegUjJ59SHcXe/+OIYY6jVX0u2n/dcxacVbVm/TSgtxJz8Xkb49huHTR8NmuoaXtzqSP79u+krQMgjvel5J1tVjWXm6yj7UIxHhpeQcnB1u5MLZRwKwFxHs1URVhypQpsvMIDQ2FuFBWt25d2Tg2WqfA2b83IPH6JdnJN+sxEvZOrPgsi8RGClCAAhSgAAUoUAIBc7xuLKbJYgQleLF5CAUoYPYCV26kYubyszglFSPQcsuRViX79e8YiAIEL/asju6tg7Xsnn3dJxAZGalbNfLUqVP3tcg/HTRoEL7++mt4enrKB5p46+md65BwLVLvKO2dXJlUqlfHuhpsbW3gX+Gfn/eo67dNdvIVK1bEli1bMHv2bF0+Rna2us9hz507h5YtW2LJkiXo1auXyc6PA7NugbikTGw5pFysSlQn1SKhtEDb3s4GU5+rj7GfH8LF66kFu4v8+pN0cwyTSouk4U4KUKAEAlaZVCqqiuqrIOXq6qq7C8bLy6tYnGL50jFjxmDSpElFHrdjxw5kZWXB0bH4SyqLsT733HMPLHsv7or95ptv4OfnV+Q5uZMCFChaQFQQnbP6nOISOEUfXby94k6leb9G6pZDmvx0GOykP/q4FU9g+fYozF9/oXgHaRD9ffglJKVm4+W+tTTozXS7qBfqhcWTW2Fx+GWs3hmteeJusI8zXpGSSZvXrmC6CBwZBTQUePPNN3H69GksW7asyF7btWuHNWvWwMeHd4oWCcSdOLF1OS4c+ENWosEjg5hUKivERgpQgAIUoAAFKFAyAXO7bixmyWIEJXuteRQFKGDeAqIIwRxpidesHPXLpBd3xqkZufhUKnRw6FwCJg6sA1cnq/xItbhsxYoPDw/H4MGDkZSUpPo4Z2dnzJkzByNHjlR9DAMpQAHjCogchgkTJqB9+/bo378/Ll++rGoAoriWKNzw1ltvYerUqSVeMlzVyRhEgRIIiIRSpSqlYZU9MPzxqiXoXf4QUbTnnaH18PyM/RA3wOjbjl1MwnVpVdUg6fNZbhSgAAVKK2B12U0iQVMkjha1BQQE4JdffkG9evWKalbc9/zzzyMwMLDIuIceegh2diX7g/PVV1/FypUrH+j3nXfeQd++fR/Yzx0UoIB+gSV/XMbn0sUmFSsT6++kBC3iruY3FhxDdq7hLnKVYFgmf8iGPTFlklBaALNm1zV8u/FiwVOL/eriaIcxvWpg6ZutpTvvg2BvW67UcxXJpP8nXWz9QUpYZUJpqTnZgZkJLFy4EK1atXpg1GIZr61btzKh9AEZ7igkYOw3KYVOzicUoAAFKEABClDAegXM8boxixFY788rZ04BaxYQBQhm/HzGoAml9/ruOHoL4+Ycwu3krHt38/tSCnz55Ze6FR6Lk1Baq1Yt7N+/32ITSkMCKyCsWjCqVmIxoVL+ePFwExFo1qwZIiIidImiaock3t9OmzYNAwYMQEZGhtrDGEcBowhsOaxcpfTVfrVha1P6z1mLmlBlf1eoWR112xHlcRbVP/dRgAIUuF+gZFmO9/diRs/FnTFnzpzR3REj/lDJycmBuKvN29sbohx7aTbRx9WrV3XLDaWmpiI3NxcuLi7w9fWFSFgtyfbxxx/r7ri7/1jxRurdd9+9fzefU4ACMgJrd0VDVJ8sq03c0TxtyUlMHVYfNgZ6M1lWczPEeYXX7F/OFrtrF0db1KnsiRA/F7i72kNQp0hL2sfcTseZqDtITsspVp/Ltl5BsK8zHm8ZVKzjzDFY3LX2+oA6GNWjOrZH3IS4YHrqcrLqZGg/L0e0qFMBXZoGoEE1L95Fao4/BByzJgKiMv26devQokUL3XtDGxsbiPd0EydO1KR/dmI9AuU9XKV/y5x0N8NE34i3nolzphSgAAUoQAEKUKAMBMzturEgYjGCMvhB4SkpQIEyFfh0xRls3Hvd6GO4HJumSyz94uWm8PNyMvr5LemEeXl5GD9+PObOnVusaQ0ZMkS33L2bm1uxjjOn4KoV/RDkVx5Jd9JwKfqWOQ2dY6WAXgFPT0+sXr0aX331FV577TVkZ2frjb23QRQCi4qKwvr16+Hv739vE7+nQJkIxN/Jgng/ILe1ruuDGhXd5UJK3da/Y2Ws+ita9uaag9Jn7M88Glrqc7EDClCAAlaXVCpecnGBsGpV7UtOi75FNVJxp5wW29dff43Jkyc/0NWjjz6KJUuWMFnnARnuoIB+gYNn4/HFmvP6A/S0BHg7oUFVL1SSEhQ9RYKilKGYlpmrKxt/WkpQvBCTUqyqp7uOx+Hb3y7qkvb0nJK7JQHxxvyDpSeRr796fyEnkTj6cCN/PCFV2WxUvbzeO8DEHY7idQuXlkf640Cs7PIA955ALKVUJ8QDoYGWe8Hq3vm6u9jjybYVdY+snDxEXktB1M00xMRlQCz7lJGVBzupmqmzky0qeDjqEnirBblzKYV7Efm9RQqkpaXpPrR97733EBQkn2guLnSJC17dunXDggULdJUXLBKFk9JeQPpbpWATHybUCg1EXl4+VvzOpNICF341P4G0pDjk5Rbvxh6lWebmKFcJSk24gdzsTKWuitXuVt4PNrZWeSmlWE4MpgAFKGCuAuZy3Vj4shiBuf6UcdwUoEBJBcSKUmWRUFow3hsJmZj49VF8KSWWekifFXArvoBY2loshf3777+rPtjBwQGiqukLL7yg+hgGUoACpicwbtw43epeYnn76OhoVQM8cOCArnDDxo0bUb9+fVXHMIgChhI4diFJsesebYIVY0obIPIV2jfwg1zV1NNXkqWk0zw42tuW9nQ8ngIUsHIBfhJioj8AP/74I8aOHfvA6Fq3bo01a9ZA/BHFjQIUUCcQLy1L8+GPp1QnfzrY2eCxloEQb/yqB8vfTST6/uNgLFbtjEbCHXV31/28LQqNpCqOLcN81E3ACqNEEmdSqrrEgyY1ymP8U7UgSv4rbeLDobpVPHWPoV1DMXddpK4ap9JxWTn5+ERaUmneK82srsqs+IOjXqiX7qHkxHYKWLKAqEbfs2dPHDt2DEeOHMGuXbt01e7l5tywYUNddXwnJ1awkHNiGwUoYPkCv0wdjNjzEUaf6MKx7TU/5wsL9qFCcHXN+2WHFKAABShAgeIIsBhBcbQYSwEKWILA9iM3IVaUKs4mrvM3lq4dixWVxLVjkYQhbpQvKBpx9moKDp6LR1yS8g1rBecVN96LYgifjGrEwi8FKCq/3rlzB23btsXJkydVHgHdTd2iwmGrVq1UH8NAClDAdAWaNWuGw4cP65LLd+zYoWqg4rq8+N2xZcsWtGzZUtUxDKKAIQQuxabKdutgb4PmtbxlY7RqfKiBr2xSaW7eXVyLS4coCMSNAhSgQGkEmFRaGj0DHSuWS33uueekBLjCJfoaNWqETZs2wdVVOXHKQENjtxQwS4Ev155XnaD4UH1fvNy3puolbCp4OmLwI1XQt30l3UWtZVujkKeivOanK85iyZut4Swt1c6tsMCBM/HYKVV0VdpEIbcXulfDwE6VS3QBz1dapui9YfV1FUvFskk50htsue3s1Tv4bd91XbKxXBzbKEAByxPYt28fevXqhZs3b+omJy58Pfvss1i5cqXi7x8mlFrezwNnRAEKUIACFKAABShAgbIUYDGCstTnuSlAgbIQuH47A+L6rdrNR7pmP0i6Zty1RSDcnPV8DCotONizLXSfwx2JTMRP0nX9w+cTVJ3iwNkELN8ehUGdq6iKZ9A/Ah4eHmjfvr3qpFKRRLZq1SoEBASQkAIUsCABX18pGU5KEJ04cSI+//xzVTMTq8TWq1dPVSyDKGAoAZGkKbfVlla8tJduaDHGVr+qp+Jpom8xqVQRiQEUoICigHF+qykOgwEFAlu3bsXAgQORm5tbsEv3tU6dOti8eTO8vLwK7ecTClBAXkBcCNpx9JZ8kNQqlk9/Rap2+cGIBqoTSu/t1NHBFsMfr4YvXmqK8m7KlYTjpAqnSzZfvrcLfv8/gYWbLipaiNfrrWfq6i7cieqjpdnExcUZLzaWlgBQ/ifxhz8uIyc3vzSn47EUoICZCSxbtgwdO3b8N6G0YPjiova7775b8JRfKUABClCAAhSgAAUoQAEKGFyAxQgMTswTUIACJijw+epzSM/KUzWy/g+HYKlUzKFvh0r6E0rv6UlcW25a0xuzxjTGRyMbwttD+dq+OHxR+GWIZFduxRP44osvdCsBKR01evRo/Pnnn0woVYJiOwXMVMDOzg6zZ8/G0qVLFVcDq1KlCjZu3MiiW2b6WlvSsBNS5FcsDfFzMdp0vd0d4eokX7hK7YqgRhs0T0QBCpilgJ5b9MxyLmY/6D179uiqYGVlFV5qo1q1ahDJpuLOHW4UoEDxBL7fdEnxAFspQ/G9YfXQroGfYqxSQN1QT3z1SlOM//IIbkuJo3Lbmp3RGNAxBF4qklDl+rGktkPSckPnolMUp/Ry31ro3ES7O5TFMkjvSlVL3/z2mOy5xWv6x8FYdG8dLBvHRgpQwPwFRMX4d955Bx988IHeyUybNg3ixp9BgwbpjWEDBShAAQoUFmjTqAZCAn0K7yzls4J7jOztbDHwsdal7O3Bw1f+vg/5960k8mAU91CAAhSgAAUMK8BiBIb1Ze8UoIBpCuw5GQexspXS5uRgg3eH1kfruiX/W6ONdOzCiS0xZeExnL5yR/aU2VLhgbnrzuPD5xvKxrGxsICtrS1+/vln3Q3cBw4cKNwoPROJZl9++SVefPHFB9q4gwIUsDyBIUOGoHbt2rpk89jY2AcmWL58eYSHh8Pf3/+BNu6ggLEFMhRucPFwsTfqkDxc7ZGWqf+mm/TMwkXsjDo4nowCFLAYAeWybBYzVdOeyNGjR/HEE08gLS2t0EArVaqEbdu2ISgoqNB+PqEABZQFjl1IxKkryYqB46Xl7rVIKC04UbCPC2aMaqRY+TIrJx+rpcRSbv8JbNx7/b8ner7r2NgPvR6qqKe15LvFRcOB0rJISpuaMSr1wXYKUMC0BdLT09GvXz/ZhNKCGQwfPhz79+8veMqvFKAABSigICAqAdlIN3Vp+bi3cr2W/Rb0pTAlNlOAAhSgAAUMLsBiBAYn5gkoQAETFRArRyltYgWqT0c3LlVCacE5yrs74LMxTVC/qvKqgX+fvI0LMcoFEgr65vwUp9gAAEAASURBVNd/BFxcXLBhwwZUrVq1EImnpyc2bdrEhNJCKnxCAcsXaNasme76esOGhZP0HR0d8euvv+qSTi1fgTM0B4H8/LuywxTXEY252RTcZa/npLxBXg8Md1OAAsUSYKXSYnEZJjgpKQndu3eH+Hr/Nn/+fGRnZyMyMvL+piKfiw/TKleuDHt7494JUeRguJMCZSywab9yguLDjfzQs632CYpVg9zwUp+a+HTFWVmF3/fH4rluVXUfqssGWkFjmnTH1B7pQpzc5uJoq3OViylN23PdQvFnxE3cTMzU283Zq3cQfSsdlYy4jIHewbCBAhTQXCAmJgY9evRARESEqr4zMzPx0ksvoajqCqo6YBAFKEABKxOIuZWIjEz55aKKS+Lv44nyHq7Iz8/H+Ss3inu4YryoXs2NAhSgAAUoUFYCLEZQVvI8LwUoUNYCR84nqFrVasqQuqgXqpwEqnY+Tg62+Oj5Bhj56QHcSNB/nVj09/O2KLz9bD21XTPufwJ+fn666oNt2rRBfHw8QkNDdctbh4WF0YgCFLBCAVFka/fu3boVwcRS9yLf4YcffkC7du2sUINTNlUB8Rm13JaaYdzKoErnc3ZkKpjc68U2ClBAnQB/k6hzMmjUihUrIBIYitpE9dLibs888wyWLFlS3MMYTwGLEsjKycPOY3Gyc3KWLg6JxE9DbU+0CoJIbJVbKidOWk792MVENK7hbahhmE2/EZGJEMsGyW2921WCt7ujXEip2hyln4khXapg1kr5ZGCx5BKTSktFzYMpYJICBw8exJNPPomiltrRN+AWLVro7pjW1879FKAABShQWOBKTBzEQ8utWb2quqTSPKliwJEzV7Tsmn1RgAIUoAAFylSAxQjKlJ8npwAFyljg9wMPLoV8/5C6tw5C+4Z+9+8u9XN3aQnbt5+ph7FzDsn2tetEnLT0bC5cnfhxawGUWH2xc+fOBU/1fq1Zs6bumto777yD5cuXw9fXV28sGyhAAcsXcHNz0/1OmDBhAoKDgzFgwABVkxbFHurUqQN3d3dV8QyiQEkF3KXl5uW2mNvpcs2aton3HslpObJ9ekjvZbhRgAIUKK2ATWk74PGlF7hxQ9tKKpcuXSr9oNgDBcxc4OTlZGRk58nOomfbYFTwMFyCoriTTlQhVdoOnE1QCrGKdpFUKreJKv5PSq+ZobdHmwVA6W6zI5F8zQz9OrB/ChhbQNzk06FDh2IllA4cOBB//fUXAgICjD1cno8CFKAABShAAQpQgAIUsAIBpWIEIiFH7aNGjRoYMWKEFahxihSggCUIiOIDO4/fkp2Kq5MtXuheXTamNI11Qz3RrUWgbBfZOfnYfVzbm+ZkT2jijRMnTsQjjzyCmTNnqhpp27ZtIZJQmVCqiotBFLB4ARsbG3z++ecQv0vUbHv37tUlsXft2hV37txRcwhjKFBigYo+LrLHipUu86Ub3o2xnYlKVjxNRV9nxRgGUIACFFAS4K1zSkJGaHdwcND0LBkZGZr2x84oYI4CSgmKYk492hg+QbFZLW8EVnBCbLz+ZXLUjNUcX4PijjkyJkX2kDqVPeBX3kk2RotGUa20dV0fbDtyU293F2JS9baxgQIUMC8BsaTx+++/j6lTp0Lt8sbipoH33nsPopICNwpQgAIUUBao3KAd3CvIfxir3EvhiGtnDiI9Sf7D22rNu8DWTtu78h2cXAsPhM8oQAEKUIACBhRgMQID4rJrClDApAVOSUUjMrPlV7Xq9VBFeChUDSvtJMWqVkoVUw+fT0BXheTT0o7DHI5/9dVXdclgYqz/93//B1dXV4wZM8Ychs4xUoACZigQERGBxx9/HKmpqRDJpV26dMEff/wBLy8vM5wNh2wOAlUC5K8JpqTn4kzUHYibUgy97Tsdr3iKEH/58Sp2wAAKUIACkgCTSk3gx+DRRx/FrFmzEB+v/MtfzXBFlS1uFLB2gYvX5ZP+qga6oaKv/B1FWhiKxKN29f2wcsdVvd1dik3VJTKJWGveom/KLwvQuHp5o/E0rOYlm1R6MzETWVIlXJGAyo0CFDBfAXEjzrBhw7By5UrVk3B2dsYPP/yAfv36qT6GgRSggOkL3EnNwKZdR3UDTUvPMv0Bm9kIOz6nfRL+incG4NLhbbIS3SfMhYuHt2wMGylAAQpQgAKmLMBiBKb86nBsFKCAIQWOXZRf1Uqc+/FWQYYcgq5v8RlCo+peOHohSe+5Ii4oj1XvwRbS8NJLL+Grr74qNJtx48bpEkuHDh1aaD+fUIACFCitwJkzZyDyK5KS/vvdfODAAV1i6ebNm1G+vPE+TyztXHi8+Qg0kD47VtrCD1w3eFKpqOa+9bD8SsjVg93g6sRUMKXXi+0UoICygI1yCCMMLdC0aVPcvn1bl1QmKmSV9vHZZ58ZesjsnwImLxB9K012jGre+Ml2UIxGpXOJJXJuJVl38kKetBxAYmq2rGplhTvAZA8uZmMVKelYabt9x7pfMyUftlPA1AViY2N1y90XJ6E0KCgIO3fuZEKpqb+4HB8FSiCQl5+PpDvpukdObl4JeuAhFKAABShAAQpQQHsB8WF5hQoVNOuYxQg0o2RHFKCAgQWu3JC/vi+qhQUrLEOr1RDb1PWV7SpOurafnpkrG2OpjeLzzNGjRz+QUCrmK9pGjBiBVatWWer0OS8KUKAMBC5evIhHHnlEl1tx/+kPHTqEzp07a1bI6/7++dy6BcSNJr5ejrIIfxyIRVyS/tVLZQ9W2bhp33UkpebIRjepwZvsZYHYSAEKqBZgUqlqKgZSgALmJBB/RyFB0d/wVUoLvCqrKC8fn2zdCYpqLrp5u8u/US/w1uKrt7uDYjfpmUw4UURiAAVMVODIkSNo3rw5Dh48qHqE4iYgEd+sWTPVxzCQAhSgAAUoQAEKUIACFKBAaQRYjKA0ejyWAhQwZ4GrCqta1TPC0rIFfmrOFR0nvwpXQV+W9lVUKJ0/f77eaeXl5WHw4MH47bff9MawgQIUoIBagejoaF3S6PXr1/UeEhERoatimpycrDeGDRQoqUCnxv6yh+bk3cW8XyNlY0rTeCctB4vCLyl20amJ/DgVO2AABShAgf8JsOYxfxQoQAGLExB3wGZKS5PLbV5uykmDcscXp83LzV4xPD1LfryKHZh5QE5evuIM7G3LKcZoFWBvp3zPRa6KMWs1HvZDAQpoJ7B69Wo8++yzSE9Xf7H/qaeewpIlS+Ds7KzdQNgTBShQ5gLBtZui71s/yI6jQkgt2XY2UoACFKAABShAAQpQgAIUoID2Aslp8kUjRLUwY21qzqVUMcxYYzXmeSZNmoS5c+cqnjInJwdDhgxBVFQUPDw8FOMZQAEKUECfwIsvvqj7XaKvvWC/KCrx2GOPYcuWLXB1dS3Yza8UKLVA1xaBWPHnVdl+/oy4hTZ1b6BLswDZuJI0fvLzaSRLiaVyW4hUWKt2CP+9lTNiGwUooF6ASaXqrRhJAQqYiYBYSl3KK5Xd7IyYoGir4lxizNa8OTso/3OUoZAorKWfmsqpzo62Wp6SfVGAAkYQ+PDDD/H222/rlt9SezoRP3XqVJQrZ7zEdrVjYxwFKFA6ATfvANRs/UTpOuHRFKAABShAAQpQgAIUoAAFKKC5gFIRBg8X5UIOWg3K3UXFteusXK1OZxb9TJs2DTNmzFA1VnGT9sqVK5lQqkqLQRSggJzAt99+i06dOuHcuXNyYbq2vXv3okePHti0aROcnJwU4xlAATUCVQPd0KyWNw6dS5ANn7niDPy9ndCgqpdsXHEa56+/gL9P3lY8ZEDHEMUYBlCAAhRQK6Bcik1tT4yjAAUoYCICdrY2cFCoNJlmxKXL1SyTbu0Jik4ONrC1kU/Yio3PMNpP2I2ETMVzuTopX0xU7IQBFKCAUQQyMzPx9NNP46233lKdUCouNP300094//33mVBqlFeJJ6EABShAAQpQgAIUoAAFKEABClCAAv8TsO4aDCb9Y/DZZ5/hnXfeUTVGFxcXbNy4EV26dFEVzyAKUIACcgJBQUHYsWMH6tSpIxf2b9uff/6Jvn37QlRM5kYBrQSe7Rqq2FV2Tj4mzT+KA2fiFWOVAvKlwlRz157H8u1RSqHwL++Ers0DFeMYQAEKUECtADNi1EoxjgIUMCsBN+nu4YQ7+pfIuW7EBMXrt5WXWHZ3tu5fx6ICYGAFJ1yL0584Gnkt1Wg/g+evpcieSyQtV/BwlI1hIwUoYDoCJ0+exKpVq1QPKCAgAOvWrUPLli1VH8NAClCAAhSgAAUoQAEKUIACFKAABShAAW0EnJ1sIbdyVUqG8RKEUjOUq5A6O1rH9f0FCxbgtddeU/UiiyWnf/vtN3To0EFVPIMoYO4C0Sf3Yu+qLzSdRsadohPS7t6zXOPZ3etx68ppTc9brVlnNO3+vKZ9atWZuHYvEks7d+4Mcd1faROVSgcPHowVK1bAxob11pS82K4sIKqPdmrsj+0RN2WDxfuYSQuO4pkuVfDMo6GwVyiIVVRnNxIy8MnPZxARmVhU8wP7xvWuAVF8ixsFKEABrQSs468crbTYDwUoYDYCwT4uskmlZ6/eMdpczkbLJyiKgQRVcDbaeEz1RCH+rrJJpQfPxesqDBpjCepDZ4v+Q73ArqKvi/THp3xl1YJYfqUABcpeoFmzZhAXvYcNG6Y4mEaNGmH9+vWoVKmSYiwDKEABClCAAhSgAAUoQAEKUIACFKAABbQX8HS1l72+L1ecQOvRxNzWXwih4FxivJa+iRuwx4wZo2qabm5uCA8Px0MPPaQqnkEU+PvnWUhJuKEXwtbOHl1GfaS33RQaxPgvHtxi9KEkxl6GeGi5uVcw7UqHfn5+EFVIRWLp8ePHFacuCk6MGzcO8+bNU4xlAAXUCIzpVQPic+uUdPkbT0T+95LNV7DtyE2ICqedm/irSvpMSMnC6r+isUp6ZElVT9Vsber5oF0DPzWhjKEABSigWoBJpaqpGEgBCpiTQGV/F5y4lKR3yMcvJiJTukPIycFWb4xWDUql7QO8neBohHFoNR9D9VO3iif2nLytt/u4pCwcu5iERtXL643RoiFWqmJ74nKybFf1Qj1l29lIAQqYnsDQoUNx+vRpzJgxQ+/gevfujaVLl0JUUuBGAQpQgAIUoAAFKEABClCAAhSgAAUoUDYClaSb+i/Hpuk9+SmF67d6DyxBg5pziSIElrz9/fffGDRoEPLy8hSn6ezsrFvyngmlilQMuEfg9K61uB119p49hb+1c3Ay+aTSwiM27DNjFF8x7AxK37uPjw+2bt2K9u3b4+xZ/T87BWf6+uuvERQUhLfeeqtgF79SoMQCPp6OmDw4DG9+p5zULE4iblCZvuy0bhn7tvV9dZ91hwa4wltaFVNUMM3IysWNhExESitpHjyXgMPSI09a9l7t5iuNZ9KgMLXhjKMABSigWoBJpaqpGEgBCpiTQP1QL2zce13vkDOz8/HXsVvo2tywd9vFJWXiyPkEveMQDWKs3IAmNZSTRZdvjzJ4UumKP68qvhxNaiqPVbETBlCAAkYXmD59uu4Ck6hEev82efJkfPjhh+AFuftl+JwCFKAABShAAQpQgAIUoAAFKEABChhXoIqUaLHzeJzek16KTcXNxEz4l3fSG6NVw55T+gshiHNU8HCAm7PlftwqbtLu0aMHMjMzFUkdHBywZs0ai13y/ugfS5GbpeygCHVPQGaq/uIoIiw/NweH1n97zxHafNu0+wiU41Lg2mAW0YuLsyPCqgYV0VLyXfZ2//2eqRzkAy93bZPZr91MwI3b8gVXSj56wxzp6+uLbdu2oV27drh06ZLiSd5++21dYunw4cMVYxlAASWBNvV8MVSqPvrDH+orBd+RKpuG74/VPZT6V9vu5GCDaSMawBqqpqs1YRwFKKCdwH/vPrTrkz1RgAIUKHOBxiqS/kSC4qPNAgyaQCQSFJVuJGKC4j8/LrVDPODn5YhbUkVSfdu+0/G6JN0mNb31hZRqf9TNNGzYEyPbh6O9DVrUriAbw0YKUMA0BWykC6XLli3TLb117Ngx3SAdHR3x7bff4plnnjHNQXNUJi1w7fQBZKQmajrGtKRbiv1djtgBRzdtq2ZXrt8WDs5uiudmAAUoQAEKUIACFKAABShAAQpQwNACDaqJm/qvyJ4mfP91DOtWVTamtI03EjJwJFK+aIShV9Yq7RxKc3xMTAy6deuGxETlax92UsLb8uXLdfGlOacpH7tj8QfIuBNv1CHm5WZjyzeTNT9n48eHwdZEk0orBnjD3cVJWvI5F5eila+TaY6jQYfOjvaoWcVwRW38K3hCPLTc0jOzzS6pVMxfVB8tSCy9du2aIsmoUaPg7++PJ554QjGWARRQEnjusapITMnGeoXPlpX6KWm7nW05vP9cA4jP2LlRgAIUMIQAk0oNoco+KUCBMhfw83JCWGUPnI66o3csYvkcUc20R5tgvTGlabgqJSiu2y3/B4x4s9dWupOJG3TJvV2kJN9lW6NkOWYsP4PvJrbU/O7v3Lx83dIDSssJPCQtS+DixH8+ZV8kNlKgDATi4uJ0F7hr1qwpe3Y3NzeISqUtWrTA3bt3sXbtWrRp00b2GDZSQJ/A9u/fRcyZg/qaDbZ/w6wxmvc98uu/4RNSS/N+2SEFKEABClCAAhSgAAUoQAEKUKC4AvVDPeEg3dyfnZOv99A1O6PR7+EQuBrwWq24Vi1dPpLdmhqoAILsSY3QmJKSoksQjY6OVjybuJH7hx9+QO/evRVjGUABJYFqFf0Q7O+N5JR0s00qFdedc/PylKZarPZyKAdbWxvdMXn5+bpr28XqQCE4X+mXncLxZdlcpUoVXWJp+/btcfPmTdmh5Obmon///vjrr7/QrFkz2Vg2UkCNwKv9asHZ0RZqVsJU05/aGHHOD6QKpZb6PkStA+MoQAHDCjArxrC+7J0CFChDgUelpe3lkkrF0L7+NRKiUmiwj7bLROTk5uPDH09JfzTKX3FqFeYDD1f7MlQyrVM/2bYilm+/CrnEzhsJmZj6wwlMH9kQdv/7A1qLWcxaeRZnr+pPQi44R9/2lQq+5VcKUMBEBE6ePKlbhktcwN6/fz98fHxkRxYSEoKNGzdCLI9TuXJl2Vg2UoACFKAABShAAQpQgAIUoAAFKEABChhXwNHBFg9JxRi2R+hPDhJLyH6/6RJe6iN/g3FJRx55LQW/7ZVf1cpeKhrRroHlFY3Ik5LhBgwYAHHNTc02d+5cDB48WE2oxcT4lneXEp+1/ZjdSapuKTZ7O1sE+4lqvdptIgnR3JY21272xu8pITkNK3/fr+mJ3aTqrT07NtH1efjUZVy4qv/3o6YnNpPORLGJzZs3QySWJicny446PT0dPXv2xIEDB1CxYkXZWDZSQEmgXLlyGP1kDQT5OOOrNeeRo5AboNSfmvZg6VxTn6uP6sHuasIZQwEKUKDEAtq+2y3xMHggBShAAe0FukpJpd9vughxcUnflp6Vh8nfHsNXLzfTLLlT3IE4U6qmeS46Rd9p/93fv2PIv9/zG8CvvBPE67ZJWrpIbjt4NgHvLDqBd5+tB3GBsTRbfv5dzF51DuH7YxW7aSolIIdV0XZJEcWTMoACFJAV+O233zBo0CCI6gli69OnD7Zu3QoHBwfZ43gXsiwPG0sg4OzkAAdpqTctN0eH//rzdNP2BhgxzuTUdC2Hy74oQAEKUIACFKAABShAAQpQgAKaCXRtESibVCpOtFqqVtqiTgW0lB5abulZuZi25CSkS8eyWxsp8dXdxfKKRrz22msIDw+XnXtB49tvv40XX3yx4KnVfG0SVgUVvAyTzOMqJQ92aF5HU0uxtPm6bYc07ZOdlZ2A+ByS24MCDRo0wLp163RVlrOysh4MuGdPbGysLrF0165dcHV1vaeF31KgZAKicFJYZU98/NNpXLyeWrJOVBz1mPT+SNxQw1U1VWAxhAIUKLXAf59SlrordkABClDAtARE2Xex/M1C6W5lue3qzXS88tURzHyxESp4OsqFKraJJdTF8uybD91QjG1YzQsNqnopxllbwPDHq+LPozeRISX8ym17Tt7G2DmH8O7Q+qjkV7JEm/jkLF1F2SORiXKn0rXZlANe7FlDMY4BFKCA8QQ+++wzTJw4EfnSnfYFm7gIJC5kf//99wW7+JUCRhFoXLsyqgQbpjqJWNrqiQ6NNJ/HivB9UnXw//7/0fwE7JACFKAABShAAQpQgAIUoAAFKFBCgRa1vREa6IrLsWmyPUxdfAJzXmqKGhW1SfATq5C9KxU0uHpL+UbMgZ1CZMdmjo3z58/HnDlzVA19xIgReP/991XFMogCFNBOQFRG5Fa0wMMPP4ylS5di4MCBhT43KCo6IiICQ4YMwZo1a0DTooS4r7gC4r3IgtdbYN2ua1i65TKSUnOK24Xe+NohHhjTqwZzC/QKsYECFDCEAJNKDaHKPilAAZMREEmlv+27DrFkutx2KTYVIz89gMlPh6F57ZLd1Xz9dgY++PEkTl9RXkJdJCiO622YZXnk5mkObT5SYu8IKbH0q7WRisO9EJOK4Z/sg6j42r9jZXi6qrsrXCSsrtstvaHffBmiWq2arU/7SppdmFRzPsZQgAL6BXJycjB69GgsXLiwyKBFixYhLCwMr7/+epHt3EkBClCAAhSgAAUoQAEKUIACFKAABShg2gIiwWdo11C8t1h+CXZxfffVuUfw4YgGaFi9dEuGp2bkSgmlx3H4vHIRguZS0msdqSKZJW1i9Z+XXnpJ1ZS6d++Ob775RlWsJQbtP35Rt0y9lnNrXKcKfMq7IzU9E3uPKn8+UpxzixXbuBlWoGbrxzH+p7OanuTqiT1YO334A33eW6m0Wc8X0HbghAdiSrPD1r50BXhKc24tju3Xrx9u3LiBl19+WbE7Udn0jTfewCeffKIYywAKqBGwlZIA+naohO6tg7BRylHYuDdG8QYZff2KvkRF9r7tK6JZrZLlL+jrm/spQAEKqBFgUqkaJcZQgAJmK+AkLY3+ct9aeFNa4l5pS0jJxsT5R9GhoR+GdgtF1UA3pUN07Ump2fhlx1XpEY1s6S5mNVvvdkxQlHPqKyVwHjgTjwPSMvdKW07eXSzbGoVVf0WjXQNftJWWHKoX6glfL6dCh4rX6dTlZOw9fRs7jt6CuECodqsW5IaR3aupDWccBShgQIH4+HjdEvc7d+6UPcukSZNQu3ZtiAvc3ChgDIHIqBu4Hpek6alCpcqngb5eurvq90kfVmi93VvlV+u+2R8FKEABClCAAhSgAAUoQAEKUKC0Ag838kej6tdw9IL839viWu+EeRF4VkpCHdy5spTsZ1PsUx+7kIjp0pK1SgUqRMd2tuUssmjEyZMnFSv7ifm3atUKK1asgK2trXhqlVtSinIl2+LCZOf885lFbm4e4hJTins448tYwE5KxLQr5WqI90/B0bXoxPV7q2raOzrDxdPn/kOt/rlIkI+JiVGVLHr27Fnk5eVZ9e80q/+BMQCAo5SjID7vFo8LMSnYL33ufUS6aUV8n5xWdAVTUYQ4wNsJdat4okkNb7Sp5wMvNwcDjI5dUoACFFAnwKRSdU6MogAFzFigTV0f9GlXEWukUvNqtr+O3YJ4hFXxQLv6froy8mJ5dY//VcHMzM6DqEp6OipZ9wZw76nbyJUSG9Vu1YPdMKpndbXhVhkn/iB+c0hdjJ59ELHx8lVmC4CycvKx9fBN3UPsc3KwgbuLPWykvlLSc1RXJC3or+Crh4sdpj5XH4721nuBrMCCXylQ1gJnzpzRJYleunRJcSgiWW7QoEHYt28f6tatqxjPAAqUVkBc7Nf6gn8FTzddUuld6W3GlZi40g6Rx1OAAhSgAAUoQAEKUIACFKAABcxO4NV+tfGCtMqYuP4rt+VJlRgXhV/C5oOxGNKlCjo18Vd1Tffs1Tv4aesV7Dyu/u/upx+pgsr+rnLDMcu2V155BdWqVcPTTz+NlJSikxqrVKmC9evXw8XFxSznyEFTgALWIzB9+nRcvHgRq1at0jvpKVOmYNq0abg3UVdvMBsoUEKB6sHuEA/x/kFsd6Sk0tvJWdJn17nIkQpWiSJZrk52CKjgDIcS3Bij65T/oQAFKGAAASaVGgCVXVKAAqYnMPrJGoiUlko/cUn+juZ7Ry6Wsb93KXtxd5BIUBQXp0q6ieXZRYIi3xAqC4o7r2a+2Bjj5hxCUmrRd2zJ9ZKZnY/M7Cy5EMU2R3sbfPxCI1T05QUyRSwGUMDAAr///jsGDhyI5ORk1Wdq164dKlWqpDqegRSgAAUoQAEKUIACFKAABShAAQpQgAKmJSCSN8dLq5HNWH5G1cBipIIQn/x8Bl+tPY9WYT6oX9VLSgB1gad0vdlOWkY2LTMX1+MzIJJJD5xJQNTNNFX9FgQ1qOalq4ha8NzSvvbo0UN3k/aTTz6JCxcuFJqeh4cHNmzYAF9f30L7reVJt7EzkZutrgiGWpM/F72P1IQbesPFMuSPvzxbb3tJG2xsWESjpHY8znwERKLokiVLcOXKFRw6dKjQwEVi/OLFi9GvX79C+/mEAsYQEIWsCopZGeN8PAcFKECBkgowqbSkcjyOAhQwKwGx3M1HzzfA+C+P4FJsaonGLqqE5Yn/lHBzdrTFJ6MaIdiHCYpqCUUy55xxTfH6/AjEJZUuQVTtOQvi3Jzt8NHIhlLF2qKXFymI41cKUMDwAl988QUmTJigW4JG7dnGjx+PWbNmcckatWCMK5FAw67PoGqTTiU6Vt9Bp3asRkJM4Q9t7o9t2fclODhp+36Cy2Tdr8znFKAABShAAQpQgAIUoAAFKGAqAo+3CtItF6t2NTIx7rTMPGw7clP30GoegRWc8N6werCVklMteQsLC8OBAwcwYMAAbNmyRTdVsdT98uXLUa9ePUueuuzcaj/UU7a9JI1/r5ASRmWSSm1s7VCvU/+SdM1jKEABScDZ2VlXXblFixa4du2azqRy5cpYt24dGjVqRCMKUIACFKAABWQEmFQqg8MmClDAsgTEUuizxzXBGwuO4kzUHaNOTlQoFQmltUM8jHpeSzhZ5QBXzH2lGd5eeBznooteckfreQb7OOODEQ0QGuimddfsjwIUKIZAbm4uxo0bh2+++Ub1Ufb29pg7dy5Gjhyp+hgGUqCkAg27DC7poXqPi408qpxU2ns0XMv76e2DDRSwNoE7qemIjUuSbj6QXw7T2lw4XwpQgAIUoAAFKEABCliSwLjeNZEsLRcrEkXLYvP2+GdlLW93x7I4vdHPWb58eYSHh2PixImYPXs2PvvsMzz22GNGHwdPSAEKUKC0AoGBgbrEUrGyWdOmTbFq1SqrrbhcWkseTwEKUIAC1iXApFLrer05WwpYvYBI7pw9tom0/M1p/BlxyygeoYGumDa8AZdQL4W2n5cTvhrfDAs2XMCqndEoRcFYxVE80tQfE/rVhosT/4lUxGIABQwokJiYiKeeegrbt29XfRZvb2+sXr0aDz/8sOpjGEgBClCAAuYvcP7KDYgHNwpQgAIUoAAFKEABClDAcgVspOqgU4bUhat03Xb9nhijTlQUIfh0dGMEVnA26nnL+mSiOqlIJhXX6Nq0aVPWw+H5KUABCpRYoHHjxvjrr7/QoEEDiMIU3ChAAQpQgAIUUBZgxoyyESMoQAELE3BysMW7Q+ujSY0YzPs1EhlZeQab4ZNtgzHmyRpwlM7JrXQC9nY2GCvdjd65aQA+X3UOZ69qW202xM8FL/etiWa1KpRuoDyaAhQotcC5c+fQo0cPREZGqu6rdu3a2LBhA6pXr676GAZSgAIUoAAFKEABClCAAhSgAAUoQAEKmI+ASCyd0L82KknXcr+RChDk5t01+OCb1/bWJbN6uTkY/FzGOkF+fj5sbGxUn44JpaqpGEgBCpiwgKhSWpytuL8ri9M3YylAAQpQgALmIMCkUnN4lThGClDAIAI92gSjdV0fzF8fqVsyR8vql2KZ+5f71ERYFU+DjN2aOxW28yc0x/7Tt/Hz9igcvZBUKo6aFd0xoFMIOjbyly6klStVXzyYAhQovcDWrVvRr18/JCWp/3/70UcfxcqVK+Hpyd+5pX8FlHvIy81Bxp0E2UB7Jxc4urjLxrCRAhSgQGkE3CsEwjuommwXNja8sUsWiI0UoAAFKEABClCAAhQwU4F+D4egflUvzPj5DC7FphpkFk4ONnjusaroL52rXDnLum48depUnDp1CgsXLuT1NIP89LBTClDAnAXuSh8Yz5o1S1fEYtu2bbCzY0qNOb+eHDsFKEABCpRcgP8CltyOR1KAAhYg4OPpiLeeqYdnHw3F8u1X8WfETWRkl6xyqbiu1LSmNwZ0DEHz2qx2aegfj5ZhPhCP2PgMXVLwoXMJOHU5CTkKd6fbSomjtULcda9Vp8b+CA10M/RQ2T8FKKBSYN68eRg/fjxyc3NVHgGMHTsWc+bMgViOi5txBGIjj2Lp64/JnqxZz5HoMmq6bAwbKUABCpRG4PHxn5fmcB5LAQpQgAIUoAAFKEABCpi5gCg+sOD15li3+xqWbYlCYmq2JjMSdQc6NfHHC92rw6+8kyZ9mlInO3fuxIcffoi8vDxERERgxYoVaNasmSkNkWOhAAUoUGYC8fHxGDp0KH777TfdGN577z188MEHZTYenpgCFKAABShQlgJMKi1LfZ6bAhQwGYEQf1f836A6uuXPd5+Ig0hQPHohETcSMmXH6O5ihwbSHdFNpGTSDg39IJJUuRlXILCCM4Z0qaJ75OTmI+Z2OqJvpSMpVaqkl5WHfOmOQhdHW3i42qOirwsqSQ9HByafGfdV4tkoIC8gkkhfeeUVzJ07Vz7wnlZxd/AXX3yB0aNH37OX31KAAhSgAAUoQAEKUIACFKAABShAAQpYi4CdrQ2e6hACsSpZ+P5Y6XEd56JTSjR9T+n6ceem/ujbvhKCfVxK1IepH5SYmIghQ4boEkrFWC9duoS2bdti5syZePnll019+BwfBShAAYMK7NmzBwMHDkR0dPS/55k+fTq6dOmCDh06/LuP31CAAhSgAAWsRYBJpdbySnOeFKCAKgEnKdnwkaYBuoc4ID0zF9Fx6UhMyZa+/y9B0d3lnwTF8u4OqvplkHEE7O1sUCXATfcwzhl5FgpQoLQCYpn7/v37Y8uWLaq78vLywi+//IJHHnlE9TEMpAAFKEABClCAAhSgAAUoQAEKUIACFLBMAUd7W/R6qKLucfVmGg6eTUCEVDTi4vUU3JQKR+TffXDeHlLBiMpSsYn6uqIR5dGoenmIJFVL3p5//vlCyVJirtnZ2bqVg3bs2IHvv/8e4robNwpQgALWJCCWuxfJ9VOmTHlgFbX8/HxdMv6xY8fg7e1tTSycKwUoQAEKUABMKuUPAQUoQAEZARcnO9Sq5CETwSYKUIACFCiNQLdu3bB//37VXdSoUQMbN25EzZo1VR/DQMMJODna48mOTXUniDh7Beev3DDcydgzBShAAQpQgAIUoAAFKEABClCAAhRQEBCrkolH3w6VdJHZ0upWSanZyJCKRuRJ2aXO0qpWbs52EIUjrGlbsGAB1qxZo3fKa9euRUREBFavXo0mTZrojWMDBShgXQK/ff4yYs4elJ30sM+3wsHJVTbGVBtFBeenn34a4eHheod47do1jBgxAuL3JDcKUIACFKCANQkwqdSaXm3OlQIUoAAFKEABCpiYwNSpU/HEE0/8u+yW3PA6deqEVatWoXz58nJhbDOygO3/qniUK1fOyGfm6ShAAQpQgAIUoAAFKEABClCAAhSggLyAg7S6lZ+Xk3yQhbdGRkbi1VdfVZxlbGwsbGwsu1qrIgIDKECBQgLJt64hPjqy0L77n9yVqnma6+bk5ISoqCjF4a9btw4LFy7UJZcqBjOAAhSgAAUoYCEC/MvAQl5IToMCFKAABShAAQqYo0DXrl0xe/ZsxaGPGjUKf/zxBxNKFaUYQAEKUIACFKAABShAAQpQgAIUoAAFKECBfwTE0s3Dhg1Denq6Isknn3yCRo0aKcYxgAIUoIClCDg7O+Pnn3+Go6Oj4pREcv7Vq1cV4xhAAQpQgAIUsBQBJpVayivJeVCAAhSgAAUoQAEzFXjppZfw4osvFjl6W1tbzJkzB/Pnz4edHYvsF4nEnRSgAAUoQAEKUIACFKAABShAAQpQgAIUKEJg1qxZ2LNnTxEthXc9/vjjGD9+fOGdfEYBClDgHoFaVQLxcPM6aNu45j17zf/bBg0aYObMmYoTSUlJwfDhw3H37l3FWAZQgAIUoAAFLEGAn8xbwqvIOVCAAhSgAAUoQAEzF/jyyy8hluLatm3bvzPx9PTEihUrIKqZcqMABShAAQpQgAIUoAAFKEABClCAAhSgAAXUC5w+fRpvv/224gEBAQFYvHixYhwDKCAEjm9djpzMNE0xMu4kyvaXn5eLwxsXysaUpLHxY0NhY8t0CbV2Xu4uCPIrj6zsHLWHmE2cKHyxefNmbNy4UXbM4vOLefPmYezYsbJxbKQABShAAQpYggDfJVnCq8g5UIACFKAABShAARMWEMts2djIF8gXVUh/+eUXtGrVCufPn0e1atWwYcMG1KlTx4RnxqFRgAIUoAAFKEABClCAAhSgAAUoQAEKUMD0BHJzczF06FBkZWXJDq5cuXJYsmQJfH19ZePYSIECgR2LpyEt8WbBU6N8FUmlm7+epPm5GnQZzKRSzVXNt8NFixZBVC2NjY2VncSkSZPQrVs33WcYsoFspAAFKEABCpi5gPyn+2Y+OQ6fAhSgAAUoQAEKUKBsBXbt2oW6devi0qVLigMpX768LpH0ySefxP79+5lQqijGAApQgAIUoAAFKEABClCAAhSgAAUoQAEKPCgwY8YMHDp06MGG+/aMGzcOXbp0uW8vn1KAAhSwPgEfHx989913ihNPS0vD8OHDcffuXcVYBlCAAhSgAAXMWYCVSs351ePYKUABClCAAhSggAkLiDt7X3zxRWRnZ6NHjx7Yu3cvPDw8ZEdcs2ZNrFu3TjaGjRSgAAUoQAEKUIACFKAABShAAQpQgAIUoEDRAhcuXMC0adOKbrxnb/Xq1fHxxx/fs4ffUqB4Aj5ebnCw1zbdwNHRXjcIOztbBPl6FW9ACtH5UhLgjdvJClFstmaBxx9/HCNGjMDChQtlGXbu3KlLQB05cqRsHBspQAEKUIAC5iyg7bs8c5bg2ClAAQpQgAIUoAAFNBEQy92/8cYbmDlz5r/9nT59GgMHDtRVIrW1tf13P7+hAAUoQAEKUIACFKAABShAAQpQgAIUoAAFtBMYNWoUMjMzZTu0sbHB4sWL4eLiIhvHRgrICTQOC4VveXe5kBK3uTo74uEWYSU+vqgDM7NysGbrwaKauI8C/wp89tln2LJlC65evfrvvqK++b//+z/07NkT/v7+RTVzHwUoQAEKUMDsBWzMfgacAAUoQAEKUIACFKCAyQikpqZCLF9/b0JpweDCw8Px2muvFTzlVwpQgAIUoAAFKEABClCAAhSgAAUoQAEKUEBDgR9++AHbt29X7HHChAlo27atYhwDKEAB0xBIy8jEr9sP6x5XYuJMY1AWOgqx2tr333+PcuXKyc4wKSkJ48ePl41hIwUoQAEKUMCcBVip1JxfPY6dAhSgAAUoQAEKmJBAVFSUbpn7EydO6B3VnDlzEBYWhhdeeEFvDBsoQAEKUIACFKAABShAAQpQgAIUoAAFKECB4gncvn1b1Q3dderUwbRp04rXOaMpUITAoZOXYC8tU6/l1rB2ZV3107T0TOw9dkHLriFW2DLX7e5dIC0jy1yHb3bj7ty5M0aPHo158+bJjn3FihV49tln8fjjj8vGsZECFKAABShgjgJMKjXHV41jpgAFKEABClCAAiYmsGfPHvTu3Ru3bt1SHNm4ceNQo0YNdOzYUTGWARSgAAUoQAEKUIACFKAABShAAQpQgAIUoICygKg+Gh8fLxsoKu8tXLgQTk5OsnFspIAagcQ7aWrCihWTnZ2ji8/Ny8ethDvFOpbBFNBS4JNPPsGGDRsQHR0t2+2YMWNw+vRpuLi4yMaxkQIUoAAFKGBuAkwqNbdXjOOlAAUoQAEKUIACJiawZMkSXeXRrCx1d0rn5OTg119/ZVKpib2OHA4FKEABClCAAhSgAAUoQAEKUIACFKCAeQrs3r0bS5cuVRy8qLzXunVrxTgGGF/g/JVYXLuZgOycXOOfnGc0SYGA6g0x+KO1smPz8Ksk287Gkgu4ublh7ty56Nmzp2wnYgW3jz76CB988IFsHBspQAEKUIAC5ibApFJze8U4XgpQgAIUoAAFKGAiAnelNXemTJmC6dOnqx6RjY2N7gLLpEmTVB/DQApYlYBYy+p/2434JORJy3Ll5/+3r6CNXylAAQpQgAIUoAAFKEABClCAAhSggBAQS3q/9NJLihhBQUHFuo6n2CEDNBW4HpekaX+G6qzLqI+Qk5Whafd/LfkAqfE39PZpY2uHx17+XG97SRts7RxKeqhRjnN290Llhu2Mci6epGiBHj164KmnnsKqVauKDvjf3k8//RTDhw9H1apVZePYSAEKUIACFDAnASaVmtOrxbFSgAIUoAAFKEABExFIS0vDkCFDsG7dOtUjEnf2Llu2TPHOXtUdMpACliggLUNXsMXcTIR4cKMABShAAQpQgAIUoAAFKEABClCAAvoEFixYgKNHj+pr/nf/l19+CQ8Pj3+f8xsKlESgTrsnS3KY7DH713ylmFTa4JGBsn2wkQKGEvjiiy+wZcsWJCcn6z2FWMXt1Vdf1a3QpjeIDRSgAAUoQAEzE2BSqZm9YBwuBShAAQpQgAIUKGuB6OhoXWKomovVBWMNCQnB+vXr0bBhw4Jd/EoBChQlcE+l0qKauY8CFKAABShAAQpQgAIUoAAFKEABChQIJCQk4K233ip4qverWL65T58+etvZUDYCjbo9g/Sk23pPbmtv2pU09Q6cDRSwIIHAwEB8/PHHGD16tOysxOcfv//+O7p16yYbx0YKUIACFKCAuQgwqdRcXimOkwIUoAAFKEABCpiAwP79+9GrVy/cuKF/OaL7h9mqVStdRVN/f//7m/icAhS4T6BSvVawc3K+b2/hp7YOToV38BkFKEABClCAAhSgAAUoQAEKUIACVinw9ttvIz4+Xnbuzs7OEFVKuZmeQMveY0xvUBwRBSjwgMCoUaOwaNEiHDhw4IG2e3e88sorOHHiBOzt7e/dze8pQAEKUIACZinApFKzfNk4aApQgAIUoAAFKGB8gZ9//hnDhw9HZmam6pM//fTTWLhwIRwdHVUfw0AKWLNAq6detubpc+4UoAAFKEABClCAAhSgAAUoQAEKFEPAxcVFl7yUk5Oj96jJkydDrCLEjQIUoAAFSiZQrlw5XXK+KKBxV2alqdDQUCQmJsLPz69kJ+JRFKAABShAARMSsDGhsXAoFKAABShAAQpQgAImKCAukrzzzjsYPHiw6oRScZHlgw8+wI8//siEUhN8TTkkClCAAhSgAAUoQAEKUIACFKAABShAAfMXmDlzJk6dOgWxvH1RW5UqVTBx4sSimriPAhSgAAWKIdCiRQsMGzasyCPCwsIQHh6uezChtEgi7qQABShAATMUYFKpGb5oHDIFKEABClCAAhQwlkB6ejr69++PadOmqT6lqJCwatUqTJkyRfUxDKQABShAAQpQgAIUoAAFKEABClCAAhSgAAWKL1CjRg38+uuv2LZtGxo2bFiog88++wxOTk6F9vEJBShAAQqUTGD69Onw8PD492AfHx/MnTsXx48fR7du3f7dz28oQAEKUIACliDApFJLeBU5BwpQgAIUoAAFKGAAgZiYGLRv316XIKq2+4oVK2L37t3o06eP2kMYRwEKUIACFKAABShAAQpQgAIUoAAFKEABCpRSoFOnTjhy5Ai+++47BAQEoEuXLujdu3cpe+XhFKAABShQIODv74/33nsPDg4OeO2113DhwgWMGTMGtra2BSH8SgEKUIACFLAYATuLmQknQgEKUIACFKAABSigmcDhw4d1y2Zdv35ddZ/NmzfXVUUIDAxUfQwDDStw6cif+PWTkZqeJD8vt+j+7v63OyJ8CU5u/+W/HRp8V6ddL3Qb96kGPbELClCAAhSgAAUoQAEKUIACFKAABShgmQI2NjYYMWIEBgwYgOTkZMucJGdFAQpQoAwFxo0bhyeffBJVq1Ytw1Hw1BSgAAUoQAHDCzCp1PDGPAMFKEABClCAAhQwO4Fy5cohKSlJ9bjFhepFixbB2dlZ9TEMNLxAXm42MlPVv45ajSgvJwvioeWWnZmmZXfsiwIUoAAFKEABClCAAhSgAAUoQAEKWKyAm5sbxIMbBShAAQpoK2Bvb8+EUm1J2RsFKEABCpiogI2JjovDogAFKEABClCAAhQoQ4EmTZpgyZIlEMmlcptoF8u9LF++nAmlclDW0Cb/o2INApwjBShAAQpQgAIUoAAFKEABClCAAhSgAAUoQAEKUIACFKAABShAAbMXYKVSs38JOQEKUIACFKAABShgGIG+ffti2rRpeOutt4o8gahKunjxYvTv37/Idu40LQE3F0c81KSWpoOyuSfpuE5oEEKDfTXt/+LVm4iUHtwoQIGyF7hx4RiuHN0pO5DqLR6FT4i2v2dkT8hGClCAAhSgAAUoQAEKUIACViSQlSWtDJOXBxcXFyuaNadKAQqoFdj+/XtIvnlVbbiquLgrpxXjNswaC1s7bdNOuo6ZARdPH8Vzm3rA3bt3kZiYCG9vb1MfKsdHAQpQgAIUeEBA23/dH+ieOyhAAQpQgAIUoAAFzFlgypQpOHPmDJYtW1ZoGkFBQfj111/RrFmzQvv5xHQFbG1s4e1puGXPXJwdIR5abtedErXsjn1RgAKlELh2+gD+XDRVtgc3b38mlcoKsZECFKAABShAAQpQgAIUoEDJBb755ht89NFHmDx5MkaNGgUnJ6eSd8YjKUABixO4HLEDty6dNPq8Ivdt0vycHYe/JyWVat6tUTtcv3493nnnHQQGBiI8PNyo5+bJzEPgdnIWxCMjKw+5eflwdrSFm7MdAis4w9He1jwmwVFSgAIWLcCkUot+eTk5ClCAAhSgAAUoUHqBhQsX4uLFi9i3b5+usyZNmkBcEAkODi595+zBaAK5UiWLG7eTND2fjY0N/Lw9dH3eSctAekaWpv2npmvbn6aDY2cUoAAFKEABClCAAhSgAAUoQAEKUMBIAqJK6YwZM3Dz5k288sormDlzJt588008//zzcHBwMNIoeBoKUIACFFASEAmkIpn00KFDutBjx47h4MGDaN68udKhbLdgAVG19uTlZBw4G4+IyERcvJ6qSyYtaspigTj/8k6oH+qFJjXLo009X3i62hcVyn0UoAAFDCrApFKD8rJzClCAAhSgAAUoYLoCa9asQeXKldG0aVPZQTo6OmLdunVo0aKF7sLHkiVLuMyWrJhpNqZJCZ/b9ysvV1Sc0Ts52qPPI/9cDIuMuoFzl2OLczhjKUABMxUQ/+8XJJTfvJ2MrJxcM50Jh00BClCAAhSgAAUoQAEKUMA8BL7//nvExMT8O1jx/dixY/HJJ5/g7bffxrBhw2Cn8fLT/56M31CAAmYnEBosJaG5u2g67gpe/6yCZWdri0a1K2vat+js6Nkozfs0Zofbtm3T/T7eu3fvA6edNm2arlDHAw3cYfECKek5WLvrGjbtv44bCZmq5ivln+pibyTcwJbDN2BnexatwnzQr0MlNKxeXlUfDKIABSighQCTSrVQZB8UoAAFKEABClDAzATEUllvvfWWbukVcZesWM5ebvP394e4GCKWaiknbpPkRoH7BaQLHdwoQAHrEKjg6YaHmtTSTXbLnhOIS0yxjolzlhSgAAUoQAEKUIACFKAABcpAICcnBx9//HGRZ7569SpGjhyJ6dOnY/PmzahWrVqRcdxJAQpYl0DFAG9UCqhgkEnb2togrJr2q5iZa1KpqEDZtWtXbNmyRa/3hg0bEBERgcaNG+uNYYNlCWTl5OGnrVFYueOq3oqkamecm3cXu0/E6R71q3phbK8aqB3yzwpyavtgHAUoQIGSCDCptCRqPIYCFKAABShAAQqYqYBYKkssi/Xjjz/qZnD9+nX07NkTu3btgrOzs+yslBJPZQ9mY5kIODi6wCtA27vGc7OzkCrdISu3Obq4w9nDWy6k2G2unj7FPoYHUIACFKAABShAAQpQgAIUoAAFKEABcxdYvHgxRPKo3CaSmsSKRNwoQAEKUMC4AqIIR5UqVRRPKqqVitXjuFm+QERkAmYsP4PYeHWVSYsjcuJSEkbPPohebSvixZ7V4ehgW5zDGUsBClCgWAJMKi0WF4MpQAEKUIACFKCA+QrcunULvXr10lUcvXcWhw8fxtChQ7FixQpWIb0XxgK+r9ywHUYvPKzpTK6dOYilrz/2YJ/3FLCt/8hAdBk1/cEY7qEABShAAQpQgAIUoAAFKEABClCAAhRQLZCXl6erQqp0wOTJk2Fnx499lZzYTgFrEdh1+JzmU21ZvxqqhfgjKzsHq7cc1Lx/c+5Q/A5etGgRcnNz9U5j3bp1OHnyJOrVq6c3hg3mLSBu8Fjyx2Uslh7StwbbRN9rd1/D0YuJeP+5Bqjk52Kwc7FjClDAugVsrHv6nD0FKEABClCAAhSwDoHjx4+jefPmDySUFsz+l19+wbvvvlvwlF8pQAEKUIACFKAABShAAQpQgAIUoAAFKECBMhZYvXo1Ll++LDuKkJAQDBs2TDaGjRSgAAUoYDiB0NBQPPPMM7InEAmHs2bNko1ho/kK5Obl48MfT2HR74ZNKL1X6HJsGsZ+fhCnriTfu5vfU4ACFNBMgEmlmlGyIwpQgAIUoAAFKGCaAuvXr0fbtm0Vl8kSy68sX77cNCfBUVGAAhSgAAUoQAEKUIACFKAABShAAQpQwMoE1CQgTZo0Cfb29lYmw+lSgAIUMC2BN998E7a28kuR//TTT4iNjTWtgXM0pRbIy7+L9xafxNbDN0vdV3E7uJOei9fmHcHJy0nFPZTxFKAABRQFuA6CIhEDKEABClCAAhSggPkKzJgxA2Lplfz8fFWTGD58ONq1a4fg4GBV8QyiAAUoQAEKUIACFKAABShAAQpQgAIUoAAFtBfYtWsXDhw4INtxUFAQRowYIRtjqY3bvnsH5/f+Jju9gR+sRvnAKrIxbKSApQgMmLoceTk5mk7n15mjEHNG/vfQ8/N2w8HJVdPzuvsEatqfMTqrXr06Bg0ahB9//FHv6bKzs/Hll1/io48+0hvDBvMT+GzlWew+EVdmA8/Mzsfkb4/hq5eboXKAtv8vltmkeGIKUMAkBJhUahIvAwdBAQpQgAIUoAAFtBUQFydGjRqFxYsXq+7YwcEB8+fPZ0KpajEGUoACFKAABShAAQpQgAIUoAAFKEABClDAMAKffvqpYscTJkyAo6OjYpwlBqQn30bSjSjZqeXnaZtgJ3syNmoiEHn1Jq7HJSE7J1eT/qypEzfvAM2na+fgpNinh28wHF3cFeOsIeCNN97AsmXLIJa617eJz2CmTJkCV1cm/+kzMqf96/++ht/2XS/WkH29HNGugS8aViuPyv4u8HJzgL2dDdIycxF7OwPnrqXgwJl4HDmfAKkIqqotRapY+vb3x/HNay3g7ChfMVdVhwyiAAUoIAkwqZQ/BhSgAAUoQAEKUMDCBOLi4tCnTx/s3r1b9cx8fX2xdu1atG3bVvUxDKQABShAAQpQgAIUoAAFKEABClCAAhSgAAW0Fzh//jw2bNgg27GHhwdGjhwpG8NGCpibwPVbieY2ZI6XAv8K1K1bF926dUN4ePi/++7/JjExEQsXLsTLL798fxOfm5nAlRup+Go46ibAAABAAElEQVRtpOpR16zojmHdQtEqzAc2NuUeOM7VyQ5+Xk5oWL08+j8cgtvJWVjxZxTW7bqGnDzl7NKrt9LxxepzmDQ47IG+uYMCFKBASQRsSnIQj6EABShAAQpQgAIUME2BU6dOoWXLlsVKKK1Xr55uKS0mlJrma8pRUYACFKAABShAAQpQgAIUoAAFKEABCliXwOeffy5b6U5oiIRSkVjKDQit6ItOLcN0j3LlHkzUoREFKEABYwm8/vrriqeaM2cO8vPzFeMYYNoCn/1yDtm5yq+jvW05vNSnJuZPaI429XyLTCgtaqY+no4Y26smFr3RCmFV1P17H34gFscuMDm/KE/uowAFii/ASqXFN+MRFKAABShAAQpQwCQFNm3ahIEDByIlJUX1+Lp3746ffvoJ7u5cnkY1GgMpQAEKUIACFKAABShAAQpQgAIUoAAFKGAgAXFtb+nSpbK929nZYfz48bIx1tTo5uKEAB8v3ZRFTqnMytPWxGI2c23QZTDSEm7qHa+NLVMa9OKwweQEOnXqhMaNGyMiIkLv2C5duoQ//vgDjz32mN4YNpi2wJ8RN3H8YpLiIL3c7PHxC41QO0RdUmhRHVb0dcEXLzXFrJVnEb4/tqiQQvu+WHMe301sAd5kUYiFTyhAgRII8B1YCdB4CAUoQAEKUIACFDA1gdmzZ0PcAVucu1snTJiAmTNnSndFsni9qb2eHA8FKEABClCAAhSgAAUoQAEKUIACFKCAdQqIhNLU1FTZyQ8YMACVKlWSjWEjBcxFoGXvMeYyVI6TAqoEXnvtNQwZMkQ2dt68eUwqlRUy3ca70p0LSzdfURygu4sdPh/XBFUC3BRjlQLsbG0waVAYbKQ7J37bd102/OL1VOw5eRtt6/vKxrGRAhSggJIAMwiUhNhOAQpQgAIUoAAFTFggJydHt9SVSBBVm1Bqb2+PhQsXYtasWUwoNeHXlkOjAAUoQAEKUIACFKAABShAAQpQgAIUsD6Br7/+WnHSImGJGwUoQAEKmKaASPyvWLGi7ODEynNRUVGyMWw0TYHD5xNwKVb+5g9RNXvqsPqaJJTeqzChf200qPZPZe5799///YodV+/fxecUoAAFii3ApNJik/EAClCAAhSgAAUoYBoC8fHx6NKlC7777jvVA6pQoQK2bt2K4cOHqz6GgRSgAAUoQAEKUIACFKAABShAAQpQgAIUoIDhBXbu3ImTJ0/KnqhNmza6pZVlg9hIAQpQgAJlJmBnZ4cXXnhB9vyiSMj8+fNlY9homgK/H1Begv6pDpXQpKa35hOwtSmHt4bUhZODfKrX8YtJiI3P0Pz87JACFLAuAfnfNNZlwdlSgAIUoAAFKEABsxE4c+YMWrZsib/++kv1mMPCwnDgwAG0b99e9TEMpAAFKEABClCAAhSgAAUoQAEKUIACFKAABYwjoKZK6ejRo40zGJ6FAhSgAAVKLDBy5EiIVePkNrGiXHZ2tlwI20xMICc3H7tPxMmOykNa9v65blVlY0rT6FfeCYM6VVbsYsfRm4oxDKAABSggJ8CkUjkdtlGAAhSggF6BO2k5OHU5GVsP38Cvf1/Dyj+vYt3ua9h8KBbHLiQiISVL77FsoAAFSifwxx9/oHXr1rh48aLqjrp164a9e/eialXD/SGrejAMpAAFKEABClCAAhSgAAUoQAEKUIACFKAABQoJ3L59G6tXry607/4nPj4+6Nev3/27+ZwCFKAABUxMICAgAL1795YdVVxcHNauXSsbw0bTEjgTlYzM7HzZQfVqVwkuTnayMaVt7NO+Ehzt5dO9Dp9PLO1peDwFKGDlAob9TWbluJw+BShAAUsSyM3Lx8GzCfj7ZBwiIhMRc1u5ZL6vpyMa1yiP1nV90Kaej/Tm1taSSDgXCpSJQHp6OoYNG4bk5GTV5x8/fjxmzZoFW1v+P6gajYEUoAAFKEABClCAAhSgAAUoQAEKWJ1AVk4ezkTdweXYVETfSkdSag7Ss3KRfxdwcbSFp6s9gn1dUMXfFfVCPQ2eMGB1L4CVT3jZsmXIycmRVRgxYgQcHR1lY9hIAQpQgAKmITBmzBisXLlSdjCLFi3CgAEDZGPYaDoCx6Rl5ZW2x1oEKoWUut3dxR4P1ffFtiP6q5GevJyEu3fvoly5cqU+HzugAAWsU4BJpdb5unPWFigQczsdF2LEha40xCVlISMrD9lS+XVnB1u4Odsh0McZIX6uqFPZA64GvjPG1HmvS8mQkTEpD1pJFwXdJJsgYSVdFKwdQivxWiZLFUlX/3UV6/fE6C6iFuf1jUvOkiqX3tA9XJ1s0VV6Ez1QKsfv5+VUnG4YSwEK3CPg4uKCX375BZ07d1ZcFsXOzg5z587FCy+8cE8P/JYCFKAABShAAQpQgAIUoAAFKEABClCgQCA9Mxc7jt3CNmlFphOXknXX1Qva5L7a2pRDrRB3dG4cgM5N/eHl5iAXzjYKKAosXrxYNsbGxgajRo2SjWEjBShAAQqYjkCHDh0QFhaG06dP6x3Uli1bEBMTg+DgYL0xbDAdgaibabKDCfFzQWAFZ9kYrRpbhfnIJpWKiqo3EzMR4G2c8Wg1L/ZDAQqYjgCTSk3nteBIKFBsgeOXkrBFStjbf/o2bkmJpGo26TqXdKHLA+0b+OKRpgHwtZLkvhOSlUhupJWan5J/YnKkpOSft0Xhp21XFMv4q+k1LTMPa3Zew/q/Y9DroYoY/lhV3smvBo4xFChC4KGHHsKCBQt0FUuLaNbt8vb2xqpVq9CxY0d9IdxPAQpQgAIUoAAFKEABClCAAhSgAAWsViAhJQsr/4zGr7uvISM7r9gOeVL50tNX7ugeX6+PRNfmgRj8SGUE+7gUuy8eQIGjR49CPOS2Rx99FKGhoXIhbKMABShAARMTEDcDiNXk9G35+flYsmQJJk+erC+E+01I4Fqc/EqeosCXsTY157oWl86kUmO9IDwPBSxQgEmlFviickqWLSCWIBdlzJdtvYKrN9OLPVmxTI9Yvkc8Fmy8iA4N/TCkSxVUD3Yvdl+mfoCw2h5xEz9uoVVxX6tz0XcwbclJKL0xLm6/Ij437y5W/RWte20mDw5D89oVStINj6GA1QsMHTpUd3frjBkzHrCoVasWNmzYgBo1ajzQxh0UoAAFKEABClCAAhSgAAUoQAEKUMCaBcR1Y3Hz+6LwSyVKJi3KTlzz/G3fdfx+IBb9O4bg2UdD4SytjMWNAmoFlKqUin6ee+45td0xjgIUoAAFTETg6aefxsSJE2VXnvvhhx+YVGoir5fSMFLSc2RDgox4c5GoiCpWtpdWuNe7paTn6m1jAwUoQAElASaVKgmxnQImJHD0QiJm/3IOSmXV1Q5ZvMHYcfSW7tFNWpb8xZ7VLWaJnmPCatU5XLkhX4KeVg8KrJPuzP9q7Xld8ueDrdrtSbiTjYnzj+KZ/2fvPuCjLNIHjj/pvZMEQknovYsIig0VFRB77+WsZznLqXfn3/P0vLOc2MVD7zwVKxawoqdYUXovAUIJpEAakF7/7ywXjJCd993k3c2W3/jZTzY78z4z831jNrz7vDMnZTlWLQ1Sf/VSEEDAJYGHH35Y1q9fL3PmzDlw3Iknnihvv/22JCYmHniNJwgggIA/C1RX7JWKkgLtFGOS0iUyNkHbhkoEEEAAAQQQQAABBBDwf4H84iq5/9+rZEPuPrdMVq1eqnZ/mr+8UO6/fKj07+651arcMiGCekSgrq5OZs2ape0rKSlJpk2bpm1DJQIIIICA9wmkpKTIlClT5L333nM6uA0bNsiCBQtk3LhxTttQ4R0CVTX61e1jozyXghVibFEbFR4ilZoxVdaQVOodPzmMAgHfFPDcbzTf9GHUCHiFQK2xDflzH2wUleznrqLuoP5h9W5RK0eOH5Lqrm7cHldZPW9Yve9mqx8Nq7svGizjB3dy+5w82cE/P9pkrIK7zZNdyqvztkphSbXcdcFACQ0J9mjfdIaANwvk5uZK9+7dtUMMDg6W119/XY488khZuXKl3HjjjTJ9+nQJDeVPPC0clQgg4FcCG378SD6ZfrN2TpNueERGTb5S28afKkt2bpbS/C22Tqlo+wbTeLu2rJHNi780bedKg5Tu/SQxvYcrh9AWAQQQQAABBBBAAIFWBRZvKHEklJZXuf/D9fziarlx+mK5/dwBcsrYjFbHw4sINAvU19fLH//4R3nttddk0aJFzS//6uv5558vERERv3qNbxBAAAEEfEPg8ssvd5pUmpWVJRdeeKF069bNNyYT4KMMNhI5daVRbRvrwdKoW6bUGEcwizp58GzQFQL+J0DGgf+dU2bkZwLFe2rknn+ukOwd7rlzuiWXWv783pkr5aITsuSaKb1bVvnE8+K9htWLnrHaq6yM8+KrVq2d0BfmbJI3v/JsQmnzOOYtLnCsjPqnSwcby/Tr/xhvPoavCPirQENDg9x2222itjtRd6YOGjRIO9XY2FjHVveff/65XHPNNdq2VCKAAAIIBIbAmvnvyvezHvX4ZH9+71lRDzvLCb95SMZMu9bOkMRCAAEEEEAAAQQQCECBr5cVykOvrXH77kwtaesbmuTvb6yTsvI6uWBiZssqniPwK4GoqCi5+eabHY/s7GzHTeTqRvLNmzcfaHfFFVcceM4TBBBAAAHfEjjllFMkPT1dCgsLHQNPTk6Wc889Vy666CLHoiF8Nuo75zM6IkQ72D0Vddp6OytrahukurZRGzI6kpQwLRCVCCCgFeA3iJaHSgQ6VmDH7kq54/llUmCs4ujJ8vqXW0UlaN55/kBRy6b7QsGqfWfp3W+2tyuhNC46VCKN5fVr6xplb2WdmNwU1epgvzIu7CbHh8tNZ/RrtZ4XEQgEgT179jguJMybN88x3alTp8rPP/8snTrpV0Xu0aMHCaWB8APihXNUv++ramodI2to0F+88MLhMyQ/FWi+W9zTd4X7KSfTQgABBBBAAAEEEEDA5wUWrCmSB19dI2pr+o4oM+ZuMq6dBssZE/Q70nTE2OjT+wT69esnf/7znx2Pn376ybF66erVq2XMmDHeN1hGhAACCCBgSUDtLnf11VeLunHg4osvFpVkGhYWZulYGnmXQGJcuGzfVel0ULmaOqcHtbFCN47mkEnGeCkIIIBAWwVIKm2rHMch4GaB3WXV8rtnl8qusho399R6+M8W5jsSSlViqbeXImM119ufWyaFpZ5Nvm128SWr5jG3/Lp6S5k8/+Gmli+ZPu+RFi0TR3eWw/olS6+MWIlqcVdWTV2DbCuokKUbS0WtALAh1/oqu+9+kyuDsxLkuJHppmOgAQL+JqBWHpgyZYqsX7/+wNRycnLkrLPOki+++ELCw/mH3wEYnniNQE1tnbz/5WKvGQ8DQSAtOV5OGDfEAfH1wrWSv7ss4FHCQkMkKtLe95DoqF+2XIyJjpCaOnu3D62sqjFWkCJRPeB/eAFAAAEEEEAAAQRsENho7AB2/79XtSmhtFtqlHRPjZb4mDDH1qH7quplp7EQxLbCCnE1P/Wp97IlPSlSxg9JtWFWhAgUgSOOOELUg4IAAggg4PsCDz74oO9PghmI+ox85Wbn15xX5Tivs5tPfcZvVtTfshQEEECgrQIklbZVjuMQcKNAtbFU+V0zlrcpoVQtud4jPUbUXSfhocFSWVPvWOlUXexy9ULXxz/lOS50XTqppxtn277QyurOF9qWUKoSIdUffsnxERIWEiRVRiy1Kqy/WrUmXVXTIA+8stryRdU+XWPlmsm9Zewg56smRoSFSL/u8Y7H+cdnypote+SfH2+S5ZvM/7BVY3z0zXUypGeCpCZGtjZkXkPALwXmz58vZ599thQXFx8yv2+//Vauv/56eemllw6p4wUEEEAAAQTMBLp1TpZxw/uaNWtz/fgR/dp8rLMDv1m8TnYWljqr5nUEEEAAAQQQQAABBCwJVFbXOxJKa4zdlayWgZnxMmVchhxpJH8mxrZ+c1aFEXfhumL55Oc8WbS+xFJotdPHX19fKy/dNdZxzd3SQTRCAAEEEDggUF5SIK/cfvKB71t70nv0CXLyTY+1VsVrCCCAgC0CPbvEauOU7KuVtVv3yCBjESV3l+9W7tZ2kRgb5sgZ0TaiEgEEENAIkFSqwaEKgY4SmP7uBtmSX2G5e/UHwSljM+TYEWnSt2ucNG/52TKAutC1NLtE5i0ukB9W7bacYPqvz3IcCX6jjBUpvbG0xerkw/db9esWWFatnb9XPs+xlLwcHCRyxSm95MITshwr2LYWy9lrg40E0ek3jZaPFuwUdUd+rclF3Eoj0fXZDzbK/ZcPdRaS1xHwK4GZM2fKDTfcIHV1dU7n9fLLL8ugQYPk9ttvd9qGCgQQQAABBBBAAAEEEEAAAQQQQACBXwRemLNJdhZV/fKC5plafODms/rJYf1TNK32V8VEhjp2WlK7LWXn7pUnZ2fLGiN5wKyUGyudPvLGWnn8hlFmTalHAAEEEDhIoLGhQfbu2nHQq7/+tnJP0a9f4DsEEEDAZoGRfZJMI841PhN3d1LpDmNBsWWb9Dflj7AwVtPJ0AABBAJagKTSgD79TN4bBb5buUvUdupWSlR4iFw6KUvOnNBdIoznuqIudE0YluZ4qD8y1AW1743kUrOi7qB+2LiD+pV7j5DoCO/6laHGb9UqMjxYLj2pp5x1tOtWz3+4UX5Ybf4PUW+2au08F5RUyTvzc1ur+tVrEWHB8sAVQ7Wrk/7qACffTBnXVfoYSc+/N1bh3VPhPHlOHT5/+S5RS/YP6ZnoJBovI+D7Ao2NjXLHHXfIE088YWkyd911l/Tv31+mTJliqT2NEHCXQNf+o+XO9/UXcINDvOtvBndZEBcBXxDYXbJPFqzYaOtQk+JjZEDPDEfMNZt2yN4Kax/UWx1E6R7rN9hZjUk7BBBAAAEEEEAAgcASWL99r6gP9K2U08Z3lZvO7OfY+ctK+5Zt1I5Nz9wyWl77Yqu8/GmOqGvEurIku1S+XlboSErVtaMOAQQQQAABbxNYmb1d1m/JM32v87ZxMx4E7BTo2SXG2AU1XEr21joNO29RgVxyYk/J6BTltE17K16dt8X0/8UxA7xz0bD2zp3jEUDAcwJ82us5a3pCwFRAbeX+tLGSo5XS11hl88/GSo5t+WOkW2q0PHjVMPnCWLX08bfXSXWtfvuf3Xtq5JXPtsj109y3baaVObdso6yemr2h5UtOnyur+y8fIl07RTtt46xCWT109XCftnI2tzf+u8102/sQY4nSv1w5TA4faH6HvrN+Wr4+oEe8PHb9SLnl6SWiViTVlVfnbZW/XztC14Q6BHxWYO/evXLBBRfIJ598YnkOsbGxEhYWZrk9DRFwl0BQcLCEhke6KzxxEUDAZoHyympRDztLbVr9gaTSvF2lsrt0n53hiYUAAggggAACCCCAQLsFZn682fSDdtXJb6b0duzO1J4Og4KC5BJjQQN1/fmh19aYXnNVYzt6eJrLO0K1Z4wciwACCPibwMSxg0WMXfa25xXJxu2F/jY9r5xPVU2dqAcFgUAWUH/3TRyVrl24qaGxSaYbeQyPuOlz7pU5ZfK5kbiqK2EhQXK0seAYBQEEEGiPQHB7DuZYBBCwV+D973ZY2or8sP7J8tRvR7cpobTliE88rLM8ceMoiY0yzy+f/W2u7C6z98PolmNx9fkH37tm1ZaE0pZj8mWrlvNofl5RXS+fWlgR99rT+tiWUNrct0ryvfvCQc3fOv3687piUavqUhDwN4EtW7bI+PHjXUoo7dWrlyxYsEAmTZrkbxzMBwEEEEAAAQQQQAABBBBAAAEEELBVQK1SunhDiWnMCydmtjuhtGUnxxsJBrefO6DlS60+31lUZezURAJUqzgB9GJdXZ1ce+218uGHH0plJdfBA+jUM1WbBNJS4iU9JUFiY7j53SZSwnSwQJOx3Ln6HOjuu++WRYsWdfBo6F4ncMrY/Ts46dosND7nfnv+dl2TNtWVldfKg/9ZbXqs2sE2LpqFakyhaIAAAloB80wy7eFUIoCAXQI1dQ3GHS3mf1gMyoyXh4xVRs22u7c6roGZCfL334yQ255dKrX1zlcsrW9okre+3i43ndHPami3tVNWbxtjMSvKSq3IGhkeYtbUUr0vWjmb2DfG9vK1dc7PtzpuaM8EOeeY7s5CtOt1dSe+uovrv0v1F0/nLcqXK0/t3a6+OBgBbxL4/vvv5YwzzpCioiLLwzr66KNl9uzZ0qlTJ8vH0BABBBBAILAFegw9Uo660F6DvA1LJWfJf7VB+407VdJ6GiuF2Fgy+o+2MRqhEEAAAQQQQAABBAJBYO6P5tvej+iTJFdPtv+646lHZMjqLXvkk5/ztNRzfthpXB/trG1DpX8L/PDDD/Liiy86HlFRUXLiiSfK6aefLlOmTJHU1FS/m/z3bzwmBRuX2zqvgk0rTON9/uxdEh4VY9rOlQbHXXGfpHTv+M/KXBkzbRFoq8Axl/5BqvZepz08LMJ9W3xrO/aDypqaGvnyyy8dNxjMnTtXCgr2rz7Z2NgoY8aM8YMZ+ucUenWJlSMGpchPa4u1E3z+w42SmhAhx41M17azWqkWjbr7xRWWFim7wLh5ioIAAgi0V4Ck0vYKcjwCNgl8v2q3lOyr1UaLjw6V+68YaltCaXNng43kwRtO7yvT39VvJ/+pcSHsGmM7oIgwe5I0m/t39asVq7j/WdmVUNo8Rl+zah73wV+/WbHr4JcO+V79TKgl/N1V1CqoahwqYdlZ+XblbpJKneHwus8J/Pvf/3asPlBbq/9d33JiV155pTz//PMSHh7e8mWeI4AAAgggoBXIHHaUqIedZfGcf5omlfYfP0WGHH+und0SCwEEEEAAAQQQQAABlwTUggRmq4Cq7UDvOG+ABAe759qnuq7645rdUlbufIvgFZvLpKCkSjonk4jj0gn2o8Yff/zxgdlUVVXJnDlzHI/g4GDHLkcqwfS2224zfk79Y9PJvPWLZfPiLw/M2VNPtq38zvaujjj7ZttjEhABbxXoOoCbfd1xbj766CNRnxl9/vnnUl5efkgX6j3ikUceOeR1XvAegctP7mWaVGosPit/MVYVLTVWFz1zQvsWciosrZY/zFwhm3Ye+vNysMpRQ1NF7RxKQQABBNor4B//EmmvAscj4AUCny/af+eRbigqCS8t0T3bOEw7sqsM7ZWo614qqhtkwRrrq+tpg7Wjcp4Vq6kdb/Xj6o63ao25vqFRVuaUtVZ14LVhvRNFrczqzqJ+ltWWULqytaDCSLau0TWhDgGvF1B3lN51111yxRVXiNWEUnWx+NFHH5WXXnqJhFKvP8MMEAEEEEAAAQQQQAABBBBAAAEEvEVgVc4ex3Vs3XjUaqLdUqN1TdpVFxsVKhdOzDKNYba6lWkAGvi0QMuk0pYTUdcS1W5HM2fO9JuE0pbz4zkCCCCAgMhXX33l2KGutYRS5bN27VrZtm0bVF4sMKBHvEw2/qY0K41GYulTs7PlvpdXStGetn3m/bmxs+fVj/5sKaE0PCxYbjRucKIggAACdgiwUqkdisRAoJ0C1bUNsjS7RBule1q0nHK4+R8m2iCaSrUi5W+MVUh/+9QSTSuRH1YVybEj9ImA2gDtrKwxrJaYWHVLjZJTx3a8lUoqtWs5+3ay/erwLfkVUlXT8KvXDv7mpMM8s/XSSYd1EbMk4TXGdlEThqUdPES+R8AnBNQFgQsvvFDUtiVWS1xcnMyaNcux1ZXVY2iHAAIIIIAAAggggAACCCCAAAIIICCybKP+Orsyau9KUVacJ4/LkJmfbJbaukanzZdtLJXTj+rmtJ4K/xXYsmWLrFu3TjvByZMna+t9ubJ75xRJS7Z3BbWUpF/ijRqYJU1qeTgby8rsXKmr13+uYmN3hEIAAT8XUL/jn3jiCe0s1c0HN9xwg7YNlR0rcK2xyNXCdcWy20KyqNqdc+H6Ypk6vqtMO7Kb6Q1OtfXGTSbGMW9+tU2yd+yzPNGrJ/eWLimshG8ZjIYIIKAVIKlUy0MlAp4RWL2lTLsFuBrFmRO6uW07nuZZqpVK+xlLoev+MFm2qbS5eYd8XWUkGOq2S1eDOvPo7lhpzs72XRWa2v1VYwakmLaxo4FaEVXdMaW7uLp9V6UdXREDAY8LqLtITzvtNFm5cqXlvrOyshzbXA0dOtTyMTREAAEEEEAAgY4XmHHNWO0gUrMGypl/+Le2DZUIIIAAAggggAAC7RdYv13/oXuvLrGS2Tmm/R2ZRIiJDJWxA1PkOyMZwFnZkLvXWRWv+7mAs1VKW07bn5NK01PipV9Wl5bTtfW5O2Kv3byTpFJbzxLB/Engs2fvlJzFX2qndOnjn0pssmcWtNEOxEsqJ0yYIGqBkX37nP/dQlKpl5wszTDiY8LkT5cNkdueWSoNaklSk1Jd2yjvzM91PNTfpMONz8nV36WJsWESFhIsFTX1kl9cLepvxOXGzUeVJotEHdzduMGd5Nxjexz8Mt8jgAACbRYgqbTNdByIgH0C67ebXzzy1IqXE0ena5NK1bLsxcYjJSHCPgAXIq3fvse09fEjPbOSqhUr5dWpg6ycQeUVVTmrcryeYPwBnJ4UqW1jV2V4aLD0NP5Y3pDr/B9NZuO1ayzEQcBOgQULFsjpp58uu3btshz2yCOPlPfff19SU1MtH0NDBBBAAAEEEPAOgZK8zdqBRMTEa+upRAABBBBAAAEEELBHINfkhvqRfZPs6chClFFGX7qk0sLSaqmpa5CIsBAL0WjiTwKffvqpdjrx8fFy1FFHadv4cmWjsYpoQ4PzVXzbMreg4CAJNnbkU8Xu2CqmeaqQauXZkr9xmfznjlO1nY469Qo58dq/attQiUB7BSrKdsmeXbnaMI0NrPTbEig8PFxOOOEEx2dCLV9v+fzrr7+WmpoaiYjomM/kW46F584FhhmLdv3u3P7y6JvrnTdqpSYnv1zUw67Sp2us/PGSwXaFIw4CCCDgECCplB8EBLxAwGwlxt4ZscYdKuEeGemovsmm/ajxdlRSqZmVuqvHm6zURUxvSyotr6rXnuPOyZ5JKG0eROfkKG1Sqdl4m+PwFQFvEXjttdfk6quvdvxj3+qYLr30UnnxxRe5OGAVjHYIIIAAAggggAACCCCAAAIIIIDAQQJqu2uz7Ud7Zbh/ldLmYalr1bqidudWixJ07RSta0adnwnU19fLt99+q53ViSeeKGFhYdo2vly5dO1WUQ87y9B+3WVo3+6OkO/M+1kaLawYZ2f/HRFL/c5rrK/Tdk0in5aHSgQ6VECtSK0WGnFWqqqq5Mcff5TjjjvOWRNe9xKByUd0lb0V9TJj7qYOGVH3tGj5+7UjRK2UT0EAAQTsFAi2MxixEECgbQKFJdXaA80uPmkPdrEyy1g10rihU1sKSvQrXWoPbmelmZVKwPVUsWalP7eeGmvLfqpr9XcDRkV49g/O6Aj9nfhVJuNtOTeeI9DRAtOnT5dLLrnEckJpkHH3/MMPPyyvvPIKCaUdffLoHwEEEEAAAZsExg3vI8cdPkgG9+lqU0TCIIAAAggggAACCFgRUNcRVaKmrnSK99xqX1YWZqis1l+r1c2FOt8UWLRokZSX61cmO/VU/eqTvjlzRo0AAoEg0LdHukw8YrAcP3ZQIEy3XXM85ZRTTI9Xq5VSfEPggomZcvu5A0zzLOyeTf/ucfL0zaMlxYN/49o9B+IhgID3CpBU6r3nhpEFkEBFtX7lyNREz13oCjO2Izdb6bOypuMudJn17XVWXnhRMDRE/6u/3uZtZ8z+V66t129zExZikuVs1gH1CHhQYNKkSZKQkGCpx5iYGHnvvffk7rvvttSeRggggAACCCDgGwKpyfHSJTVRkuI9twqWb8gwSgQQQAABBBBAwL0CtXX664yq93APbjUfEaa/DqvGY2XMqh3FfwS++uor08lMnDjRtA0NEGgpEB4WKlOOGel49OqW1rKK5wh4VCA2JlLSUxIcD4927IOdZWRkyKBB+uRbK+8ZPjh1vx3y1PFd5bHrR0pynGd2oD11bIY89dvRprkdfgvOxBBAwO0Cnl2Ozu3ToQMEfFPA7MJRRLh+JUe7Zx1ucrGrpgNXjjTr28qFOju9IsL1FwZr6jouAdfZPKMj9T9PJXtrnR3qltdL9+n7i/bwyqlumSRBA0Zg4MCB8tZbb4natqShwfn//927d5e5c+fK8OHDA8aGiSKAAAIIIIAAAggggAACCCCAAALuFIi0cB3dbBcnO8dXXWue5Gp2fdnO8RDLOwTMEoR69eolmZmZ3jFYG0cx9Y4XpKGuxsaIIvNeuFs2/DBXG/PiRz6SpC49tW1crYyKT3b1ELe3NzbEkvjYKEc/4eF8/O92cDpAwCaB448/XtauXes02sKFC6WiokLUIiUU3xAY1S9ZZt51uDzz3kb5almhWwadEh8uvz2znxw7It0t8QmKAAIINAvwV2WzBF8R6EABs6RRs0RKu4deY3Kxy2y8do+nZTyzvmss3I3eMl57n3uzlbO5dUrQr3xbUFIl6mfOzNpZfFdf31pYoT2kkwdX6tUOhEoELAqo1UqfeOIJufnmm1s9YuzYsfLhhx9Kejr/2GsViBcRQAABBBBAAAEEEEAAAQQQQACBNgiopNKQ4CBpaGxyevSusmqndXZXFJaa9xUTycd0drt7c7yamhr58ccftUNUCUb+WKLiEm2fVljE/iRKXeDohBSJTeY6rM6IOgQQ6DiB4447Tp555hmnA6irq5PvvvtOTj75ZKdtqPA+geS4CLnvsiEydXyGvPxJjqzasseWQcYYC0edeXR3ueD4TInmb0hbTAmCAAJ6Af0Se/pjqUUAAZsEoiP0K0d68kKX2oq8rEK/cmRHXuhSfyzpisetyvVWZudWNxd31fVIi9aGVtdcV20p07axq3LH7koxWxm1u8l47RoLcRCwU+C3v/2tXHfddYeEvPDCC2X+/PkklB4iwwsIIIAAAggggAACCCCAAAIIIIBA+wU6J0dqg2zeWa6tt7Nyc94+bTiVAJvKDfVaI3+rXLBggVRX65ON/TWp1N/OJfNBAAEE7BA49thjJThYn7Lz9ddf29EVMTpAYGTfZHn6lsPkqZtHy8mHd5EoC6vqtzbMvt3i5KYz+spb/3eUXHVqbxJKW0PiNQQQcIsAt0C6hZWgCLgmoC50rdjs/JjNeZ670LU1v1yanN/I7RhkepL+wpzzmbS/xqxvT1tpbnp3TLZzsvmdsu1XcS1Cr4w40wPmL98lh/VPMW3X3gaqH7PSt6v5eM1iUI9ARwg8/fTTkp2dLWpLqyBj/6EHHnhA/vjHP3bEUOgTAQQQQAABBBBAAAEEEEAAAQQQCAgBdYP6zqIqp3Ndkl3itM7uiiUb9H11SYmU0BB9IondYyJexwqYrVKqRqdWraMggAACCASGQHJysgwfPlyWLVvmdMI//PCD0zoqfENgWK9EUY/bzukvq41VS5dtLJXNO/fJ9l2VUry3Rqr/t4usuuEoNipUuqZGSWZajAzplSCjjMTULinel2/gG/KMEgEE2itAUml7BTkeARsEuht/FOjKlvwKKd1XK0lx4bpmttQtyS41jdMjXb/SpWmAdjTwOSsvXGUzISZMemfEii4B979LC+XaqX0kLjqsHWdLf2h9Q6N8tGCntlFcdKhjrNpGVCLgQYGqqiq55ppr5Nprr5UJEyZoew4NDZV3331X1OoCKpn0rLPO0ranEgEEEEAAAQQQQAABBBBAAAEEEECgfQIDMxPkp7XFToOohNN12/aIaufOoq7nm11rH+TmMbhzfsRum4BZUunAgQOlc+fObQvOUQgggAACPimgbibQJZUuWbJE6urqJCzMfZ/Z+iScDw46IixERvdLdjxaDr/RWMWqwXiEhXKzUUsXniOAQMcL8Fup488BI0DAuIAVb6rwlZHk54ny36UF2m5SEyIkJT5C28adld5k9dUy/TlxWBle3ljGDtSvQlpV0yBvfrXNrUP/9Od8KSjRb/UzxlgtNdi4K4uCgDcI5OXlydFHHy2vv/66nHnmmZKTk2M6rKSkJFH/4Ceh1JSKBggggAACCCCAAAIIIIAAAggggEC7BUb1TTKN8c78XNM27W3w/ne5juQAXZyRFsaqO5463xP46aeftIMeP368tp5KBBBAAAH/EzD73V9dXa1NOvU/kcCbkfosnITSwDvvzBgBXxBgpVJfOEuM0e8FhmQlSFhIkNQ1ON93/j3jItTpE7qJWvbcXWXFplLZtLNcG35kP/OLctoA7az0FquVm0tl44592tl480XBk8Z0lln/1SeNvvX1dpk4qrP0MlY1tbsU76mRFz/aZBpWjZOCgDcIqMTQadOmyc6d+1fXLSoqkqlTp8qCBQskPl5/Y0BwMPfweMM5ZAwIIOAdAj+//5x89dL/2TuYJud/Qzd39Plzd8nnz/+++Vtbvh5zyb0y/rzbbIlFEAQQQAABBBBAAAEEELBHQC1KkBQbLqXltU4Dfr28UM49rocM6KG/puM0gElFkXHt851v9Imr6jr/uMGdTCJR7U8C2dnZUlzsfBVdNddx48b505SZCwIIIICABQErv/vVZ1GHH364hWg0QQABBBBAwD4BshzssyQSAm0WiAg3ljrvn6w9Xm3L88lPedo27alsMj6Mf/GjzaYhjhySatrGnQ28xWrGXHOr8UO896JgVudYGZSlv2habyQ53//vVbKvss7WU1pX3yh//s9qI269Nm5qYoQcZvL/hTYAlQjYJKC2sFcrlDYnlDaHXbt2rZx//vnS0NDQ/BJfEUAAAQRMBJoaG0VUEqidD5M+D1Tb2acRyzGXA8F5ggACCCCAAAIIIIAAAt4gEBoSLCeMTtcORf3T4JE31klNnf3XdNR19sfeWidqJyhdOXxAsiQaya+UwBFQCUFmxUpikVkM6hFAAAEEfEsgIyNDMjMztYO28h6iDUAlAggggAACbRAgqbQNaByCgDsEJo3pYhp2xtxNUliq3y7cNIiTBu99t0PWbN3jpHb/y7FRoV5x93RHW73/vTWr8R2cgKs9mUblxSf2NGsi23dVyr3/XCGV1foEUNNA/2tQ39AoD766RlZuLjM95IKJmaIuAlMQ6EiBBx98UM4991yprKxsdRiffvqp3HHHHa3W8SICCCCAwKECQUHuW3X/0N54BQEEEEAAAQQQQAABBAJR4LQju4nZPz1y8svlsTfXG/e7me984Irhvz/bIj+t1a9GqeKdPqG7K2Fp6wcCZglBiYmJMnDgQD+YKVNAAAEEEHBVwOymArP3EFf7oz0CCCCAAAJWBEKtNKINAgi4X+DIoamSHB8uJXudb8tTXlUv9728UqbfNFqiIkJsG5Tayv35DzeaxjtlbBcJD+34JL8Otcopk+c/8B0r3Ukdb2yvpLaDWrdtr66ZrNqyR25+eon85cph0iUlSttWV1lmbDn1wCurZenGUl0zR116UqRMPiLDtB0NEHCXQHV1tVx55ZXyxhtvmHYxffp0GTRokFxzzTWmbWmAAAIIBLpAyw9su6QmypghvWwlCQn+5W/VI4b1kQa1MqqNZcnaLbKz0PxvGRu7JBQCCCCAAAIIIIAAAgi4KNA9LVqOHZEmXy/bpT3yiyUFEhEeLL87Z4AEG9vRt7fM+nKrvPL5FtMwfbvFydiBKabtaOBfAkuWLNFO6IgjjjCSodv/c6jthEoEEEAAAa8UUEmlb775ptOxbd++XYqKiqRTJ+/dJdPp4KlAAAEEEPBZAZJKffbUMXB/E1DJmucflynPmSR3bsjdJ/fOXCEPXT1MoiPa/7/w6i1lco+xEqXa6lxXwkKCHOPTtfFUXUdZrTGSK9WqnXUWrM4zzqUvFHXB9NrHF0qj/vTLpp3lcvWjP8s1U/rI1PFdJcTFi6xfLS2UZz7I1iZNt/S6+cx+EhFmX+J0y9g8R8BMoKCgQKZNmyYLFy40a3qgXq1oeskll0hkZOSB13iCAAIIIHCoQMsPyNSK5LHR7vu9GRVp/1aSYaH8fXLoWeUVBBBAAAEEEEAAAQS8T+CqU3vL9yt3m17L/WhBnuwydge79+LBbd6Ovrq2QZ58d4N8ujDfEsT1p/Wx1I5G/iNQX18vq1ev1k5IJZVSEPAXgdL8rfLFjHtsnU59jflOjjvWLZS377/A1n5TswbJcZf/ydaYBEPgYAEr7wHLli2TE0888eBD+R4BBBBAAAG3CbQ/I81tQyMwAoEnMO3IrvLed7lSUKL/h9EyY6XHm6YvkT9fMVTUXddtLZ/8nCfTjYtdtXXmKzidfWwPSUmIaGtXth/nitVvn1wi91/ePqtPDasnXLDq5EVWOnx1V/yFJ2TJa19s1TVz1FVUNzh+Xt7+erucdXR3OX5UuiTFOU/WUCvrfrtil+NnWiWlWi0njE4XtRotBYGOEFi+fLmcdtppkpuba7n7kSNHypw5c0gotSxGw9YEvnv9EclZ8t/Wqg68dsY9L0t8atcD3/MEAV8UaLlSaWV1rWzPN98W0pV5RkaESVpyvOOQ3SV7paqmzpXDTdtWVDnfVcD0YBoggAACCCCAAAIIIICAxwS6pUbLBcZ1z/9YWDl04foSufSvC+Sqyb3l1LEZEmZxty7175tvjOufL8zZZHpNv3niE41rqqP6JTd/y9cAEVi/fr2onZF0RV1jpCDgLwK1lftk86IvPD6ditJdtvdbV13p8XnQYeAJDB06VEJCQqShocHp5NXnVySVOuWhAgEEEEDADQIklboBlZAItFUgIjxE1AqN985caRoiJ79crjJWjrzYuDB2jpHwGRVhfdWkbQUVjhVRf15n7UP8tMQIufSknqZj8mQDV6w25+23uuTELDn7GBetCivkeWP12J/W+q6V2Xm54pResiqnTFZsLjNr6qjPK66Sp9/Pdjx6Z8RK766xkpYYKZHGz29tXYMU7akV9fOZnbvXdAXUgzvsYSRJ/+7cAQe/zPcIeETggw8+kIsvvlgqKios93fmmWfKq6++KtHRbU/wt9wZDf1aoDQvR/I26LdBq6/Vf/jg10BMzm8EWq5UWlxWLt8v3WDr3FRC6Qnjhjhirt60Q/J3W/v7xtZBBECwfZXVsm7zTsdMVXIwBQEEEEAAAQQQQAABbxS49KQsWbS+WNZt22s6vL2V9fLEOxvk1XlbZdKYznLkkFTp3yP+kB2bVCKpuva5YE2xfL4oX3J3WU82UtfZbz27v+lYaOB/AioRyKyMGDHCrAn1CCCAAAJ+KhAVFSUDBgyQNWvWOJ2hlfcSpwdTgQACCCCAQBsESCptAxqHIOBOgfHGxarJR2TIxz/lmXajVhh9+dMcefeb7caFri5y7Ih040JXnKitRA8ueyvqZEl2icxbXGAkSBaJce3LUlG7nP/B2PrHlaRVS4FtaOSq1Uuf5Mg78w2rw/9n1b11q32V+60+X+S6ldomyRutdNxqK/u/XDlMbnpqsWwvtH4RVMVUCbvqYUdJNlY9/fu1IyQ6grcmOzyJ4ZrA3/72N7n33nuN340Wfzka4VV7te19ywQp13qlNQIIIBB4Aq78ng08Hd+Z8d7yKlm2fpvvDJiRIoAAAggggAACCASkgLpO/n+XDZFrH18ke4zr41ZK0Z4aef3LbY5HWEiQZHSKlvjoUAkyrqGWG4mnecWVUl1rvvPXwX2FG6ufqt204qLDDq7i+wAQUFsW60pycrL06NFD14Q6BHxWICQ4WEYOzHTb+DunJMphgw/9XLQ9HRaV7ZOtO4vaE4JjEXBZQN1coEsqNXsvcblDDkAAAQQQQMBEgMwdEyCqEegIAbVa6QZjlUerW4aru6jf+SbX8YgIC5buxmqPKkEv1LhQVVXTYGy9U+XYfseFXKkD01Zb/gzvk3Tge2970iar+YaV8WhppbY0qrTBaoQXW+nOXXxMmDx23Uj53XNLZcfuKl1Tt9QlxYbLo9ePkC4pUW6JT1AEnAnU1NTINddc41ht1Fmbg1+PiIiQl156SS666KKDq/geAVsEenRJkW6d92+Ft2DZRrGe6mxL9wRBwK0CsUlp0rnPcFv7qNxbLHt37dDGjE/tKtEJnbRtXK2MTU539RDaI4AAAggggAACCCCAgIcFOidHOW5kv+2ZpVJV63xL2daGVdfQJNuMnazaW9TCDfcZya2DshLaG4rjfVTAbHU5Vin10RPLsC0JBBu/BPtldbHUti2NkhJiRD3sLKG5ISSV2glKLEsC6r3g9ddfd9o2OztbqqqqRK1qSkEAAQQQQMATAiSVekKZPhBwUUBt7a5WbLxx+mJHMqgrh9cYq5daTUY1izvtyK5y0QlZZs06tN5brE4b7/1WZicqLSlSnrnlMPn9jOVGUvM+s+a21WcYiaQqobSrcdc/BQFPCuzatUvOOOMM+fHHHy13m56eLu+//76MGzfO8jE0RMBVgcS4GMnKSHUctmD5JrG8vLirHdEegQ4QGHL8uaIedpYVX8yST6bfrA057pxbZNTkK7VtqNQLJGX0lP7jp2gbxad209ZTiQACCCCAAAIIIIBARwgMMLax//t1I+Tef66Q8qp6jw4h1FjtVO0EdtTQ/f/O92jndOY1AuoG9ZUrV8qqVatk9erVjseGDRukrm7/CrojR470mrEyEATcIVDf4FpSv5UxhIaEOJo1NjZJY5PrK0jr+rA7nq4v6hBoFmj5XqB2yMvMzJQhQ4b86qEWPaEggAACCCDgKQGSSj0lTT8IuCiQEh8hT9w4Su54fpnsLPL8ypFTxmXILWf1d3HUHdO8o60mH5Eht57tG1ZmZyjRWDH0aSOx9Nn3s+XDH3aaNW93/YRhqfL7CwZJbBRvR+3GJIBLAuoC7tSpU2XbNutb9w4bNkzmzp3LVlQuSdMYAQQQQMBfBHofdoKoBwUBBBBAAAEEEEAAAV8UGNYrUZ66ebQjsbSgpNojU4iPDpX/M7a8H91v/24kHumUTrxSICsrS9TjtNNOOzA+lVCqVp1TSab9+/vH5wsHJscTBFoI1NU3yNuf/dziFXueXnDqOFGJdxu25smyddav89vTO1EQsF/gsMMOk5kzZzqSSAcPHiyxsbH2d0JEBBBAAAEEXBAIdqEtTRFAwMMCaitwtXLkwMx4j/Z82aSecsd5A0VtSeErpSOt7jzft6zMzml4aLDcds4A+ftvhotaRdQdRW13f+/Fg+QvVw4jodQdwMTUCqjE0PHjx7uUUKou+P7www8klGplqUQAAQQQQAABBBBAAAEEEEAAAQS8V6BXl1j55x2Hy9HGje7uLkN7JsjMO8eSUOpuaB+OHxYWJipp6LzzzhO15TEFAQQQQCCwBRISEuSqq66SsWPHklAa2D8KzB4BBBDwGgGWhvOaU8FAEGhdICnOWDnSuIN6xpxN8s43ua03sunVhJgwI9FvsIwdmGJTRM+Gwcpe77GDOsm/+ibJHGPF0re+3i5Fe2ra3YFakfTsY7objx4kk7ZbkwBtEXjsscfk97//vTQ2Wt8O56677pKHH37YSLTnXpy2mHMMAggggAACCCCAAAIIIIAAAggg4C0CcdFh8oBxo/t3K3fJM+9vlMJSe1ctjTNWJ/3NlD6idgJTK+hREPA2gY0LP5d5z/9eO6wjz79dRky6RNuGSgQQQAABBBBAAAEEEPBvAZJK/fv8Mjs/EQgNCZYbz+gnx4xIkyfe2SCb88ptn5m6yKUudsUbiaW+XFpa/ePtDZKT7x6rawwrlYTr7yUiLETOObaHnH5UN/l+1W6ZtyhfFm0okfqGJstTVwveDuudKCeN6SLHGj/D0RG89VjGo6FtArW1tXLdddfJv/71L8sxw8PD5cUXX5TLLrvM8jE0RAABBBBAAAHvFqitKpe5j9/g8UGW5ufI7AcvtbXfmKR0OfnGR22NSTAEEEAAAQQQQCBQBCYMSxN1U/1nP+fJm19tl7ziqnZNXe3MdPax3R3XUWMiuf7ZLkwOdqtAXXWl7N21Q9tHTeU+bT2VCJgJpGYNlFtmrTdr5lL9vqJ8efnm47TH9Blzkky+7SltG1crg0P867PA+f/+i+zeus5VBm37/E3LtfWq8qMnfith4ZGm7VxpcOJ1D0ti50xXDqEtAggggAACCLggwL9sXcCiKQIdLTCkZ6Jje56vlxfK619sa3fCZIiR7XfcyDS56IQs6Wls/eNPRVnNvPNwsctKJUYeNzJdLj7R/6ysnPew0GDH/JVBTW2DrNqyR9Zt2yO5uyol37jgWlHdIDV1DRJutIs2LpqmJ0VK97Ro6d8jXoYbCaVcSLWiTBt3CpSUlMi8efMsd5GamirvvfeeHHXUUZaPoSECCCCAAAIIeL9AQ32dZC/4xOMDrS7fY3u/fHDi8dNIhwgggAACCCDgZwLqWuZpR3aTqeO7ysrNZfLl0kJZvKHYuN5pbfXS5PhwGd03WY4flS5jBiSLWvCAggACCLQmsGPtQpn3wt2tVbX5NZUgbFbWffeB7Fy/yKyZS/W9Rh0nx17+J+0xwSGhEp3QSdvG1cr6WvPd9ELCwm3v19Vxenv7nesXy/ZVP3h8mNtWfGt7n0dfco/tMQmIAAIIIIAAAr8IkFT6iwXPEPAJgWAju3HiqM6Oh0rqm7eoQH5eV2z5TmqVSDooM16OHp4mE0enS3JchE/Muy2DtMtqgmF1gp9bueIbER4ih/VPdjxcOY62CHSkQOfOnWXOnDkyYcIEqazUX2wbMmSIzJ07V7KysjpyyPSNAAIIIIAAAggggAACCCCAAAIIIOABAbVN/fA+SY6H6m5XabVsMXbAyt1dKaX76qSqpl6ajI2boiNDJC46TLqnRktm5xjpZnylIODLAvGxUTJmSC/HFFZm58rukr0+O50NW/Jly47djvE3Nhr/w3pZUau/Fm5e6fFRVe0tFvWwsyR37W1nOGIhgAACCCCAAAIIeKkASaVeemIYFgJWBAZmJoh6qKIudG3csU+2GytHFu2pkUrjQlddfaNEGVuNq1Uiu3aKkh7/Wzky0kgKDLTS0qrQsNr0P6vde6qNi4INDivlEhsVJhkpkdIjPUb6d483/ALPKtB+Nphv4AiMGjVK/vOf/8g555xjfBDQ+oXFyZMnyxtvvCFxcXGBA8NMEUAAAQQQCGCB4f17SEiwvStKRYTtv9SSGB8jowZm2aq7r6JKNm4vtDUmwRBAAAEEEEAAAQR+LZBm7MKkHmN//TLfIeB3AmGhIZKesv8zpojwfJ+eX21dvagHBQEErAtkde0kKYn2fhaSlhR/YACjB/c88NyuJ8vXbZOGxka7whEHAQQQQAABBDQCJJVqcKhCwJcEmi90HelLg+6gsaqt2dUDqw46AXSLQAcKnHXWWfKXv/xF/vjHPx4yit/97nfy6KOPSrDNiSWHdMQLCCCAAAIIIOA1Av2yuoj6INUdJT4mSuJ7RdkauqCojKRSW0UJhgACCCCAAAIIIICA+wRKSkrk1VdflZ49ezoeamckbmZ3n7evRI6KCJfDbE62Uzv3NZde3VIl1eZEwdyCYtmaV9TcBV/9RKBzSqL06p7mltmoVcD7G9dc7C4rN2w3kkrtjurd8Wpra2X79u2yZcsWx2PEiBFy+OGHe/egGR0CCCCAgF8IkFTqF6eRSSCAAAIIIICAVYE//OEPsnbtWpk1a5bjkLCwMHn++eflqquushqCdggggAACCCDgJwJq9XK7t0Zs/jBPxXayOHqb9eyO1+aBcCACCCCAAAIIIIAAAgiYCqxfv15uvfXWX7VLSUk5kGSqkk3Vtcr4+F9W9vtVY77RChxx9s0y5PjztG3iO3XV1ndEpbqxsXuXFLd1nRgXI+phZ9lr7JpB8T+BxqZGqW9osHViwUHBxsId+5Oc7Y5t60C9ONjTTz8tixcvlq1btzqSSHfu3Glcu/olk1a9b5BU6sUnkKEhgAACmSq6xQAAQABJREFUfiRAUqkfnUymggACCCCAQCALqDv/ly9fLscff7wpw0svvSQ5OTmyceNGmT17thxzzDGmx9AAAQQQQAABBPxP4N15C22f1GnHjZLY6EhRK7l8vzTb9vgERAABBBBAAAEEEEAAAd8QyM3NPWSgxcXFoh4qYUiV++6775A2vGBNIDVzgKiHrxWVyLevotrWYRuLQjr+HaqC1tTWSW2dvYmCNXX1to6XYN4hsHBVjqiHnWXkwEwZ2KurcZNtk7z92c92hg6YWO+++658++23Tue7Y8cOp3VUIIAAAgggYKcASaV2ahILAQQQQAABBDpEQN31P3XqVMnLy3P8Y3v06NHacURGRsoHH3wg5eXl0rt3b21bKhFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAVcFWksqbRkjKSlJYmLsXVGyZXyee6dAeWWNzJ2/1NbBRYSHylkn7t8Oe83mnbI+J8/W+ARDAAHPCXTr1k3bmdl7i/ZgKhFAAAEEEHBBINiFtjRFAAEEEEAAAQS8TuCLL76QcePGyaZNm6SyslJOO+00R3Kp2UDT09NJKDVDoh4BBBBAAAEEEEAAAQQQQAABBBBAAAEE2iRglvjTvXv3NsXlIAQQQAAB/xUwe28we2/xXxlmhgACCCDgaQFWKvW0OP0hgAACCCCAgG0Czz77rNxyyy3S0PDLdj5qtdJp06Y5ViyNioqyrS8CIYAAAggggIDvC0TGJMiNr6y0fSLPXjZMGzOt52A55/43tG1crQwODnH1ENojgAACCCCAAAIIIICABwXMtig2Sxzy4FDpys0CQcb+9EHB9q71pLYXN/YYNx253f3yb1FTcq9ucNYf/yMN9bW2jvHj6TfL5kVfaGNe8dRXEpfSRdvG1cqouCRXD/GJ9mbvDWbvLT4xSQaJAAIIIOATAiSV+sRpYpAIIIAAAggg0FKgvr7ekUz63HPPtXz5wPPFixfLZZddJm+99ZaoC3YUBBBAAAEEEEBACagP0+I7ZXgcIyQ0vEP69fhE6RABBBBAAAEEEEAAAQQOCJitJmeWOHQgEE98XqDX6OPl7rm7bJ1HXvZSeeW2k7QxR02+Sibd8HdtGyoDSyAyNsH2CYeEhZvGjI5PkZjEVNN2NBAxe2+oqqqS4uJiSUlJgQsBBBBAAAG3Cth7S5Rbh0pwBBBAAAEEEEBApKysTE455RRxllDabPTOO+/I/fff3/wtXxFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAY8JFBYWavvq1q2btp5KBBBAAIHAE7Dy3mD2/hJ4aswYAQQQQMAdAiSVukOVmAgggAACCCDgFoGNGzfK2LFj5csvv7QU/4EHHpAPPvjAUlsaIYAAAggggAACCCCAAAIIIIAAAggggAACdgns3r1bGyotLU1bTyUCCCCAQOAJWHlvMHt/CTw1ZowAAggg4A4BkkrdoUpMBBBAAAEEELBd4KuvvnIklGZnZ1uOPXHiRDnmmGMst6chAggggAACCCCAAAIIIIAAAggggAACCCDQXoHKykpRWxTrSqdOnXTV1CGAAAIIBKCAlfeGoqKiAJRhyggggAACnhYgqdTT4vSHAAIIIIAAAi4LzJgxQyZNmiSlpaWWj73++uvls88+k6SkJMvH0BABBBBAAAEEEEAAAQQQQAABBBBAAAEEEGivgJVV5FJTU9vbDccjgAACCPiZQGRkpMTGxmpnZeU9RhuASgQQQAABBCwIkFRqAYkmCCCAAAIIINAxAg0NDXLLLbfIddddJ/X19ZYGERISIk899ZQ899xzEhoaaukYGiGAAAIIIIAAAggggAACCCCAAAIIIIAAAnYJWFlFzspqdHaNhzgIIIAAAr4jYPb+YOU9xndmy0gRQAABBLxVgEwLbz0zjAsBBBBAAIEAF9izZ4+cd9558vnnn1uWSEhIkLfffltOOukky8fQEAFXBRZ9OEN2b13n6mHa9jvXL9bWq8pv/vOQRETHm7ZzpcG4c2+VpC5ZrhxCWwS8WqChsVH2lu/fXrC+vsGrx8rgEEAAAQQQQAABBBBAAAEE/FfASsIPK5X67/lnZggggEB7BNT7w9atW52GsPIe4/RgKhBAAAEEELAoQFKpRSiaIYAAAggggIDnBDZv3ixTp06VdeusJ+716dNH5s6dKwMGDPDcQOkpIAVylvxXcpZ85fG5r/9+ju19Dp90MUmltqsSsCMFisvK5aNvlnXkEOgbAQQQQAABBBBAAAEEEEAAASkpKdEqBAcHS1JSkrYNlQgg4H8C5SUF8srtJ2sn1nv0CXLyTY9p21Dp3wJmK5Wavcf4tw6zQwABBBDwlABJpZ6Sph8EEEAAAQQQsCTwzTffyFlnnSXFxcWW2qtGxx57rMyePVuSk5MtH0NDBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAHQLl5eXasLGxsaISSykIIBBYAo0NDbJ31w7tpCv3FGnrqfR/gfh4/Y5lZu8x/i/EDBFAAAEEPCFAUqknlOkDAQQQQAABBCwJvPTSS3L99ddLXV2dpfaq0TXXXCPPPvushIWFWT6GhgjYJdAlNVGSE2LsCueIk5ocdyDe4D5dpamp6cD3djxZvyVfGhoa7QhFDAS8QiA4OERCQsO1Ywky2lAQQAABBBBAAAEEEEAAAQQQ8JTAvn37tF2ppFIKAggggAACrQmYvUeYvce0FpPXEEAAAQQQcFWApFJXxWiPAAIIIIAAArYLNDY2yp133in/+Mc/LMcOCQmRRx99VG677TbLx9AQAbsFuqUnS9/MznaHPRBvWL8eB57b9WRz7i6SSu3CJI5XCAydeJ6oBwUBBBBAAAEEEEAAAQQQQAABbxEwW0XOLGHIW+bBOBBAwL0CE8cOFgkS2Z5XJBu3F7q3M6L7jIDZe4TZe4zPTJSBIoAAAgh4tQBJpV59ehgcAggggAAC/i+g7qi84IIL5OOPP7Y8WbX1x5tvvimnnHKK5WNoiAACCCCAAAIIIIAAAggggAACCCCAAAIIeELALOEnLu6XnWo8MR76QMDfBOZ8vdQxpbr6Bp+eWlpKvAQFBUnJnnKfngeDt1fA7D3C7D3G3tEQDQEEEEAgUAVIKg3UM8+8EUAAAQQQ8BKBq6++2qWE0p49e8pHH30kgwYN8pIZMIxAFliydossW7/NVoKhfbrJwN5dHTFnz1soDU1Ntsav9/ELrbZiEAwBBBBAAAEEEEAAAQQQQAABBBBwg4BZwo/ZKnRuGBIhEfArgYqqGr+aD5NBoKWA2XuE2XtMy1g8RwABBBBAoK0CJJW2VY7jEEAAAQQQQMAWgb/97W/y9ddfy+7du03jTZgwQd577z3p1KmTaVsaIOAJgcbGJmlstPdu+AYjZnOpNRJAm2xOKm2OzVcEEEAAAQQQQAABBBBAAAEEEEAAAfcImCX8mCUMqVFtWjhPln7yL1sHWF5cYBpvxeevyrYV35m2c6XBwAmny9CJ57lyCG0RQAAB2wQqSndJ7tqftfE6de8nnXr017bxVKXZe4TZe4ynxkk/CCCAAAL+LUBSqX+fX2aHAAIIIICA1wuolUdVoujEiROltrbW6XivuOIKeeGFFyQ8PNxpGyoQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGOFqirq9MOISIiQluvKvfsypXNi74wbWd3g+LcjaIedpa0noPtDEesABSITuwkF/71fe3MoxNYjEILFMCVhTmr5f2/XqEVOPL82+XoS+7RtvFUpdl7hNl7jKfGST8IIIAAAv4tQFKpf59fZocAAggggIBPCBx11FEyY8YMUYmjB5fg4GBRq5neeeedB1fxPQIdIjDphkeltqrc1r7nv/Kg6YcEZ9/3miSkdbe136QuPW2NRzAEEEAAAQQQQAABBBBAAAEEEEAAAZH6+notQ2goH9FqgahE4CCB0LAIyRw+4aBX+RYB/xQwe48we4/xTxVmhQACCCDgaQH+xeJpcfpDAAEEEEAAgVYFLr/8clm3bp088sgjB+rVFh+zZs2SqVOnHniNJwh0tEBi50zbhxAZk2AaM6VbX0nu2tu0HQ0QQAABBBBAAAEEEEAAAQQQQAABBDpWwCzhxyxh6ODRJ8RGSd/Mzge/3K7vIyPCDhzfp3u6dE4xvz514AALT7bmFUlR6T4LLWmCAAIIeE4gODhIEuOiHR2WV9ZIbZ3+JgDPjeyXnszeI8zeY36JxDMEEEAAAQTaLkBSadvtOBIBBBBAAAEELApUVVVJVFSUaeuHH35Y1q9fL3PmzJHMzEyZO3euDB061PQ4GiCAAAIIIIAAAggggAACCCCAAAIIIIAAAt4iYJbwY5YwdPA8YqIipF9Wl4Nftu37jLQk22I1ByrdW0FSaTMGXxFAwGsE1O/Tk48a7hjPTys2Sc6OXV4ztuaBmL1HmL3HNMfhKwIIIIAAAu0RIKm0PXociwACCCCAAAKmAj/99JOcddZZ8tJLL8nJJ5+sba+2un/99dfl1ltvlb/+9a+SlpambU8lAggggAACCCCAAAIIIIAAAggggAACCCDgbQJmCT9mCUMHz6epSaS+oeHgl9v1fZAESUhIsCNGQ0OjNBn/2VnUmL2hbFr0hayY95p2KGNOu1Z6DB2vbUMlAggg4CkBs/eIBuP9oMn4JRsUFOSpIdEPAggggEAACpBUGoAnnSkjgAACCCDgKQGVIHrVVVdJTU2NnHfeebJgwQIZNGiQtnu15f3MmTO1bahEAAEEEEAAAQQQQAABBBBAAAEEEEAAAQS8VcDupNL8ojJ5+7OfbZ1uSmKsTDpymCPmD8uzZUdBia3xvSVYWf5Wyf7xY+1w+o+brK2nEgEEEPCkQGRkpMTFxWm7VImlZsmn2gBUIoAAAgggYCJAUqkJENUIIIAAAggg4LqAukPyvvvukwcffPDAwXv37pWpU6fKwoULJSUl5cDrPEEAAQQQQAABBPxJ4Kuf1zhWiqivt3cVIX8yYi4IIIAAAggggAACCPi7gNnqcY2Njf5OwPwQQCAABdZs2ikbtxUYq2gG4ORtnPKUKVNEfaZGQQABBBBAoCMFSCrtSH36RgABBBBAwA8FKisr5ZJLLpH33nvvkNnl5OTImWeeKV9++aWEhYUdUs8LCCCAQKAKbF/1g6yZP1s7/aEnXCDdBo7RtqESAQQ6XqC8sqbjB8EIEEAAAQQQQAABBBBAoEMFzK591tXVdej4ArXz+Ngo6d093TH97K35UlHlH/9+q6mtlzc/XeCYV1Mj2XyB+vPtDfOurasX9aAggAACCCCAgO8LkFTq++eQGSCAAAIIIOA1Ajt27JBp06bJ0qVLnY7p22+/leuuu05eeuklp22oQAABBAJNoGj7Bln+2X+00+46YAxJpVohKhFAAAEEEEAAAQQQQAABBBDwDoHw8HDtQKwklQ478UIZOGGaNo6rldkLPpFPn/6d9rAJF/1eRk2+QtvG1crQiChXD3FL+7joSBnYK8MRe0dBsd8klaoJNZJM6pafGYIigAACCCCAAAKBKkBSaaCeeeaNAAIIIICAzQKLFi1yJJTm5+ebRn755Zdl0KBBcvvtt5u2pQECCCCAAAIIIODtAuc98LZ2iBEx8dp6KhFAAAEEEEAAAQQQQMC/BMxWKq2trTWdcJiRiKkedpbw6DjTcGFRMRKd0Mm0HQ0QQAABJXD0RXfL6ClXaTGiE/mdogWiEgEEEEAAAS8UIKnUC08KQ0IAAQQQQMDXBN566y25/PLLpbq62vLQly1bZrktDRFAAIFAEoiNjpAeXfZfaN26c7dUVpt/0BRIPswVAW8U6DX6eG8cFmNCAAEEEEAAAQQQQACBDhKwY6XSDho63fqIQFrWIPnNCz9qRxsZm6itpxIBOwRSswZKqgy0IxQxEEAAAQQQQMCLBEgq9aKTwVAQQAABBBDwNYGmpiZ54IEH5P7777c89KCgIEf7++67z/IxNEQAAQQCSSAuJkpGDMh0TLmodB9JpYF08pkrAggggAACCCCAAAIIIICAXwiYrVRaV1fnF/NkEh0nEBoeKSnd+3XcAOgZAQQQQAABBBBAwK8FSCr169PL5BBAAAEEEHCfQFVVlWN10rff1m/32nIEUVFR8sorr8g555zT8mWeI4AAAggggAACCCCAAAIIIIAAAggggAACfiNgllRaW8uuJH5zspkIAggggAACCCCAAAJ+KEBSqR+eVKaEAAIIIICAuwXy8/Nl2rRpsmjRIstdZWRkyJw5c2T06NGWj6EhAggggAACCCCAAAIIIIAAAggggAACCCDgawLh4eHaIbNSqZaHSgQQQAABBBBAAAEEEOhgAZJKO/gE0D0CCCCAAAK+JrB06VI57bTTZOfOnZaHrhJJVUKpSiylIIAAAggggAACCCCAAAIIIIAAAggggAAC/iwQERGhnV5lZaW2nkoEEEAAgcAVePzxx+WFF16QmJgYiY6OdnxVz5sfvXr1krvvvjtwgZg5AggggIBHBEgq9QgznSCAAAIIIOAfArNnz5ZLL71UXLnoqba6V1veR0VF+QcCs0AAAQQQQAABBBBAAAEEEEAAAQQQQAABBDQCCQkJmlqRsrIybT2VCCCAAAKBK7Bjxw7ZtGmTU4CxY8eSVOpUhwoEEEAAAbsEgu0KRBwEEEAAAQQQ8G+Bhx56SFSCqCsJpX/605/krbfeIqHUv380mB0CCCCAAAIIIIAAAggggAACCCCAAAIItBBITExs8d2hT0kqPdSEVxBAAAEE9gvs2bNHSxEfH6+tpxIBBBBAAAE7BFip1A5FYiCAAAIIIODHAtXV1XLVVVfJrFmzLM8yMjJS/vWvf8n5559v+RgaIoAAAggggAACCCCAAAIIIIAAAggggAAC/iBAUqk/nEXmEOgCpflb5YsZ99jKUF9TbRpvx7qF8vb9F5i2c6VBatYgOe7yP7lyCG07UMAsqdRsNewOHLpXdr23ok6WbyqV9dv3yvZdlVJQUiVVNQ1SXdsgEWEhEh0ZIp2To6R7WrQM6BEvI/okSUJMmFfOhUEhgAACnhQgqdST2vSFAAIIIICAjwkUFhbK6aefLj/99JPlkXfu3Fk+/PBDOfzwwy0fQ0MEEEAAAQQQQAABBBBAAAEEEEAAAQQQQMBfBJKSkrRTqaurk4qKComJidG2oxIBBDpOoLZyn2xe9IXHB1BRusv2fuuqKz0+DzpsuwBJpW23az6ysrpe/ru0UOYtLpDVW8qkqam5pvWvm3aW/6piSM8EmTSmixw/Kl1iIkmr+hUO3yCAQMAI8NsvYE41E0UAAQQQQMA1gXXr1smkSZMkNzfX8oEjRoyQuXPnSrdu3SwfQ0MEEEAAAQQQQAABBBBAAAEEEEAAAQQQQMCfBMxWKlVzLSsrI6nUn046c0EAAQRsEiCptO2Q5VX18s787TL721xRz9taVm/ZYySj7pEZczfJGRO6ybnH9pC4aFYvbasnxyGAgG8KkFTqm+eNUSOAAAIIIOB2gbS0NAkPD7fczxlnnCGvvvoqF0Iti9EQAQQQQAABBBBAAAEEEEAAAQQQQAABBPxRwEpSaWlpqXTt2tUfp8+cEPA7gZDgYBk5MNNt8+qckiiHDQ62NX5R2T7ZurPI1pgE84yAen/QlYSEBF11wNZ9YaxK+vyHG6VkX61tBiox9dV5W2Xujzvl+tP6yqTDu9gWm0AIIICAtwuQVOrtZ4jxIYAAAggg0EECKSkpjlVHx40bJ2Z3Rd5zzz3y0EMPSVBQUAeNlm4RQAABBBBAAAEEEEAAAQQQQAABBBBAAAHvEEhKSjIdiFqplIIAAr4hEBwcJP2y3JdMlpQQI+phZwnNDSGp1E5QD8YqLCzU9tapUydtfaBVVhhb3T/65jqZv3yX26ZeVl4nD89aK9+v3i2/v2CQxEaRauU2bAIjgIDXCPCbzmtOBQNBAAEEEEDA+wQGDhwob731lkyePFkaGhoOGWBERITMnDlTLr744kPqeAEBBNomsGl7geTt3n8nclNTU9uCcBQCCCCAAAIIIIAAAggggAACCCCAQIcJqJVK1U37qamponaEOvihXlfXXikIIOA7AvWtfEbS3tGHhoQ4QjQ2NkljU2N7w/3qeLvj/So437hNoLKyUsrLy7XxO3furK0PpMqCkiq584Xlkrur0iPT/m7lbsnJWyiPXjdSMjpFeaRPOkEAAQQ6SoCk0o6Sp18EEEAAAQR8RGDSpEnyj3/8Q2655ZZfjVhdCP3ggw9ErWRKQQAB+wQqq2tFPSgIIIAAAggggAACCCCAAAIIIIAAAr4pEBsbK0VFbDvtm2ePUSNwqEBdfYO8/dnPh1a085ULTh3n2AFuw9Y8WbZuWzuj+cfhNZX7pLykwNbJ7C3aaRqval+pFO/YaNrOlQaRMQkSk5TmyiFSUGA+9/T0dJdi+mvjbQUV8rvnlkrxXs9+nrKzqEpuenKxPH7DSOnZJdZfeZkXAgggICSV8kOAAAIIIIAAAqYCN998s6xdu1ZmzJjhaDts2DCZM2eOZGZmmh5LAwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQTMBDYt/FzmPHqdWTPb65d+/LKoh51l1OQrZdINj7gUsrCw0LQ9SaUiu8qq5Y4Xlnk8obT55JTsq5U7nl8mz956mHROZsXSZhe+IoCAfwmQVOpf55PZIIAAAggg4JLAxx9/LCUlJXLJJZeYHvfMM8/Ixo0bJSYmRmbNmiXqbnsKAgjYIzBqylXSe8wJ2mCu3tGsDUYlAggggAACCCCAAAIIIIAAAggggAACCCDgpwJ52UvlnT9fpJ3dyJMvlaMvuUfbhkoEPC1AUqm5eE1dg9w9Y4XsLqsxb9yiRWhIkAzsES+9MmIlNTFSIsODpbq20YhTLTn5FbJu2x6pb2hqcYT+qVoh9e4XV8gLvxtjxArRN6YWAQQQ8EEBkkp98KQxZAQQQAABBOwQePzxx+Wuu+6S0NBQycrKkgkTJmjDqnYffvihREdHS3BwsLYtlQgg4JpAt4FjRD0oCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAu0TaKyvl8qy3dogtVXl2vrUrIFyy6z12jauVu4rypeXbz5Oe1ifMSfJ5Nue0rZxtTI4JMzVQ7ymfXBwkK1jCWnx+ZaKbXf8psYmsZ6WeOjU8vPzD32xxStRUVESFxfX4pXAe/r0e9lGEqj+/9+WKn26xsrZx/SQo4enSnSE8xSpypp6+W7lbpn9Ta5k79jXMoTT51sLKuTJdzfI7y8c5LQNFQgggICvCjj/jemrM2LcCCCAAAIIIKAVqKurk+uuu05efnn/Nh61tbVy5plnysKFC6Vnz57aY1mdVMtDJQIIIIAAAggggAACCCCAAAIIIIAAAggggAACCPiBQHBIqEQndLJ1JvW15isrhoSF296vrZPwYLBOSXFy0vihbuvx8KG9RT3sLMvWbZV1OXltDrlt2zbtsRkZGdp6f69cml0iHy2w5pscFy43ntFXJo7qbIlFJZxOGtPF8Zi/vFCeMpJXS4zVSM3Kpwvz5biR6XL4wBSzptQjgAACPiVAUqlPnS4GiwACCCCAQPsEiouLHQmk33777a8CFRUVydSpU+XHH3+U+Pj4X9XxDQIIIIAAAgggoATqaqrE7MOPiOhYUR+6UBBAAAEEEEAAAQQQQAABBBBwVWDbiu9k26ofXD1M2z7f2AbdrKz/4SMpycsxa+ZSfe/DTpCuAw5z6Rgau0cgIixUjhkz0BF8/ZY82Z5f7J6OiIqADQJbt27VRlE7DwZqqW9olOnGqqBWyvDeiXL/5UMlyUgsbUs5dkS6jOiTJH9+ZbUs21hqGuLJ2Rvk33cfIWGh7PRoikUDBBDwGQE+6fGZU8VAEUAAAQQQaJ/A2rVrHYmjOTmtXxxbs2aNnH/++TJ37lwJCQlpX2ccjQACCCCAAAJ+J/D9rEflp3f1269d+Nf3JXP4BL+bOxNCAAEEEEAAAQQQQAABBPxNoHRvhXz41RLHtKpr6rxiettX/yg/vPGYx8ey8adPRD3sLFFxSV6TVLpx4eeyb/dO7fSGn3SxqBUy/bGo7c3VipeqROX55xz98bypOVVW1ciqjbm2Ti8iPEz6Ze5fuXJHYYmo34V2lt2l1rZNd9an2UqlmZmZzg71+9e/XFIo23dVms5z3OBO8ucrhkp4OxM8E2PD5ZFrRzgSS79ftVvb786iKvl8Ub5MGddV245KBBBAwJcESCr1pbPFWBFAAAEEEGijwGeffSbnnXee7N27Vxvh008/lTvuuEOeeOIJbTsqEUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBKwL1NTUiEoW2rJly4HHDTfcIB2VINTY2CQVRsIWxf8Flsz5p2xZNl870UHHnOW3SaXaiVPp1QKV1bWyKtvepNK4mMhfkkoLSiRnxy6vMmClUuenY9aXW51X/q9mQI94Y4XSIe1OKG3uSK08et9lQ+S2Z5bKmq17ml9u9esb/90mk4/IkKCgoFbreREBBBDwNQGSSn3tjDFeBBBAAAEEXBR48skn5fbbb5eGhgZLR06fPt2RgHrEEUdYak8jBBBAINAE8oxt0/LW71/Jw665565ZYBpq6/JvpLaq3LSdKw26DR4rnXsPc+UQ2iKAAAIIIIAAAggggAACCCCAgAWByspKufbaaw8kkObn50tTU9Ovjhw3blyHJZX+aiBe+E1sdKSkJcfbOrKk+OgD8TLSkiQuJurA93Y8KSgqE5UER0EAAQTaIlBdXS2FhYXaQzvqRgTtoDxQuTKnzHSV0qiIEEdCaUSYvbsxqhVP/89IVL3ibz9JRbXzz1rVaqXLN5XJyL5JHhChCwQQQMD9AiSVut+YHhBAAAEEEOgQgfr6ernppptkxowZlvsPCwuTZ599VkgotUxGQwQQCECBLUu+lm9fe9jjM18z/11RDzvL8Vf9maRSO0EDKFavbmkyelCWY8Yff7fCsR1ZAE2fqSKAAAIIIIAAAggggAACpgLR0dHy/vvvS0WF862VN27caBrHzgaZw46SC//6vjZkUkYvbb2nKlOT4+SI4X3c1t3gPt1sj/3N4nVen1SaEBst0VHhjgTngiL9qnu2AxEQAQsCCemZMuT4cy20tN5kX3GBbFvxrfaA1MyBkt57qLaNq5UZ/Ue7dIhazfrgmw8ODpCVlXXwSwHx/ReLC0znefnJPaVzsr03CzR3mpYYKVee0luefj+7+aVWv85bnE9SaasyvIgAAr4oQFKpL541xowAAggggICJQElJiZx99tny9ddfm7T8pTo5OVlmz54txx577C8v8gwBBBBAAAEEEGhFIDg4SMLC9l9SYEOnVoB4CQEEEEAAAQQQQAABBBAwBPr06SMrVqxwauHppNKYxFRRD0rgCvTv2Vn69OgstXX18u68hYELwcy9VqDbwDGiHnaWnCVfmSaV9ht3qhx9yT12dutyrPXr15seE6hJpQvXFWttkmLD5fSj7L9ZoGWnU4/sKrP+u1WK9zpfkXrR+pKWh/AcAQQQ8GkBkkp9+vQxeAQQQAABBA4V2LBhg0ydOlVcuSA5YMAAmTt3ruMi56EReQUBBBBAwJlAVGS4JMfHOKtu0+vJCbEHjktNipOwUHu36yneUy7VNXUH+uAJAggggAACCCCAAAIIIIAAAgi4R6Bv377apNLsbP2KZ+4ZlW9E3VFQIh+VLrN1sOkp8TJmaG9HzB+XZUvJHueryLal48rqmrYcxjEIIICAQ8AsqTQqKkq6d+8ecFr5xVVSWFqtnffJY7uI3dveH9xheGiwnHpEhrw6b+vBVQe+L9pTI7m7KqV7WvSB13iCAAII+KoASaW+euYYNwIIIIAAAq0IfPnll3LOOedIWVlZK7Wtv3TSSSfJ22+/LQkJCa034FUEEEAAAacC6sOI8SP6Oa1vb8XwAZntDXHI8d8tWS+5xgczFAQQQAABBBBAAAEEEEAAAQQQcK+ASirVFVcWBtDF8ce6uvoGqauvsnVqcTGRB+JVVNXI3gp74x8IzhMEEECgDQJq0Rhd6d+/vwQFBd6eQZt27tOxOOqOGZ5m2saOBkcPS9Mmlao+NuftI6nUDmxiIIBAhwuQVNrhp4ABIICAtwuoO59W5ZTJ9sIK2bG7Ssqr6qSypkFCQ4IkKjzEWJ0swvGHYe+MWBnSM1GiIuxdTczbfRif9wg899xzcsstt0h9fb3lQd14443y5JNPSkgIP7eW0WiIAAIIIIAAAggggAACCCCAAAIIIIAAAghYEDBLKs3Ly5Py8nKJjf1l1xILYWmCAAIIIOCHAmYrlapdBwOxqJU/dUV9Xt+vW5yuiW11fbrGSkxkiFRUNziNub1QP16nB1KBAAIIeJkASaVedkIYDgIIeIfANiOBdN6ifJm/fJfsLLJ+p2pIcJAM7ZUoJx6WLseOSDf+qOTXrHecUf8ehUoivfXWW+XZZ5+1PNHQ0FB56qmn5Prrr7d8DA0RQAABBA4VyN9dJl/8uOrQina8kmJseT9qYJYjwuI1OVJq81Zse8qt/23TjmlwKAIIIIAAAggggAACCCDgVwINjU2itl/dU1EnVTX10tQkEh0RKvExYdIlJdJYhCDYr+bLZOwR6NfPfHeT/2fvPsCjqNYGjr+k90ICSQihRum9CCqigtgoIoiKFMGG3mtvWMCGgooFsaCIDakKKGAF9QJSpfcOoYaQhJDe+eYsHwgkO7MJk82W/7nPPtnMeeeU3+RiMvvOOZs3b5YOHTqY06GTt9LkmtukRoO2ps5i14pfZN0vX+m2eVmf/0rt5p10Y8paGRlnfO3L2ibxCCDg2gIklZZ+fZPT80qv+P+jNbWt5j20z+jtUdRKsbWiAmVbQrrV7lIMxmv1RCoQQAABBxMg28nBLgjDQQCByhXYvC9Nvvl9v6zallKugagbi+t3n7C8PpyzS265sqbcfk0tCQvyKVd7nISAkYDa5r5fv36yYMECo9Cz9eHh4fLdd99Jly5dzh7jDQIIIIBA+QTy8gvleL7x9jtlad3L69/Vo9PSs+X4CXPbL8tYiEUAAQQQQAABBBBAAAEE3FWgoLDYcp949Y5UWb/nhLaTVbao+7+lFbXYQM1qAdKifpi0aVBVOjSKEF9t1SwKAo0bNzZE2LhxI0ml/69UtUY9US8zy4kjew2bq16nsdRvy/1yQygCEECgwgTUAjIPPfSQqAcN1Gvfvn1SXFx8Xn8NGjQ473t3+SZHZ1VQZRAebN/P4Y36yzYYr7tcN+aJAALOL0BSqfNfQ2aAAAImCCSfzJOPf9glf647ZkJrp5vIySuSaX8kyNylh2ToTfUtCabq5iIFAbMEdu/eLd27d5cdO3bY3KTabmn+/PliyxPyNjdKIAIIOKzAgU1L5URigu74Gl7RQ3wD7LM1jO5AqEQAAQQQQAABBBBAAAEEEEDAAQSOaDtXzfgrQf5Ye0wycwptGpFKNlW7X6nX3GWHtRVMPeWaVlHS7+paUjs60KY2CHJNAfWAf1xcnBw8eNDqBDdtMncHFKsdUYEAAggg4LACaofBUaNGnR1fdna2bNmy5WySqUo0bd68+dl6d3pTUHR+cu2Fc/fytO/n714Gn/cbjffC8fM9Aggg4KgCJJU66pVhXAggYDeBJRuT5M1p22y+QVjWgWVpTyONn71T/qclrI4Y3FSqh/mVtQniESgh8Ndff0nfvn0lNTW1RJ21A2plUrVCqbqRSUEAAfcQWPvzV7Jt8RzdydZqejlJpbpCJSsv6XijhEbFlay4iCP71y+STX/M0G2h5Q2DJK6JudvhRce31O2TSgQQQAABBBBAAAEEEEDAXQTUVqWfzdstC1YnipUFSW2myNYWHPhpxRH5eeUR6dyiujzY6xKJCue+sM2ALhbYrFkz3aRStVIpBQEEEEAAgXMFAgICpF27dpbXucfd8b2/r35ak71XBlW/5+mVAIPx6p1LHQIIIOBIAvr/+jrSSBkLAgggUAECE+fvlikL9VdwM6vbTftOyn1vr5LX720uTeuGmdUs7bipwAsvvFCmhNJhw4bJ+PHjRT3pSEEAAQQQuDgBtSWaeplZ8nMyDZNKYxu2k6bX9jOzW9pCAAEEEEAAAQQQQAABBBDQBOZpq4t+8uMuMUoSKCvWqVMi/1ufJMu3JMs9N9eX2zrHSZUq9l1Nq6xjJt58AbWy3M8//2y1YVYqtUpDBQIIIIAAAhLkr//ZZmJqjl2Vjqbo9xfo72nX8dAZAgggUFEC+v/6VlSvtIsAAghUskCx9qj52zO2yS8rj9p1JCezCuSJj9fJa0OayWWNI+3aN525lsCsWbMsTycePnxYd2Kenp7y7rvvyiOPPKIbRyUCegKZqcdkzU+T9EIkRlvt8NKON+nGUFm5AkEBvhLg72sZRFJKeuUOht4RQAABBBBAAAEEEEAAAQQQcACB7LxCeUvbxUolflZkySsolo9/2CVrd6bKCwOaSHCAd0V2R9sOJqBWKtUrJ06csKxkGhdn7q4oen1ShwACCCCAgLMIxEb66w41MTVX0jLzJSzIRzfOjMqM7AI5YpBUGhsZYEZXtIEAAghUugBJpZV+CRgAAghUhsAH2nb09k4oPTPPfO0G4ogvNsnYB1tK8/psQ37Gha9lE4iJiZG5c+dKp06dJDs7u9STQ0NDZcaMGXL99deXWs9BBGwVyEo7Lsumv6sb3uL6gSSV6gpVfmX9uChpEl/TMpCpPy2r/AExAgQQQAABBBBAAAEEEEAAAQQqUUAlHzz76XrZcTDDbqNYsTVF/jtujbyt3RuuHuZnt37pqHIF1EqlRmXVqlVCUqmREvUIIIAAAu4oUCsq0HDaq3ekStc20YZxFxuwRntASK1Er1dqR5FUqudDHQIIOI+Ah/MMlZEigAAC5gjM+CtBfvj7UJkb8/f11JJAw+SG9jHS56o46XVFrFzdsrrUjQnUtiwqW3P5hcXy/Ocb5XBy6cmAZWuNaHcVaN26tXzzzTelbplVv359Wb58OQml7vrDwbwRQAABBBBAAAEEEEAAAQQQQAABBKwKqB2lHvlgjV0TSs8MJuFYljysJZYeT8s9c4ivLi7QsGFD8ffXX2VNJZVSEEAAAQQQQKCkQIOaweLtqf9h/G//2Gd30t9W6ffj6VFFGtYKLTkJjiCAAAJOKMBKpU540RgyAgiUX2DLvpPy2bw9Njfgpf2Cep32VNP1WiJp07qh4uVZei5+unYT8u/Nx2XessOyLcG2LYUzcwrlla82y0ePtRVvr9LbtXmgBLqtQJ8+feTVV1+VESNGnDXo3LmzzJo1SyIiIs4e4w0CZgl4aFn0dWpWszSXmpYpaRkkx5tlSzsIIIAAAggggAACCCCAAAIIIFDxArn5RZYVSg8kVd49jWMncuWZCetl/KNtJcifj+oq/qpXbg9eXl6iFghYunSp1YGQVGqVhgoEEEAAATcX8PXxlCba5/Trd6dZlfhne6rsOZIh9WsEW4252Ir9iZmyXFt1Xq80qh0iaqEqCgIIIOAKAvyl6gpXkTkggIBNAmp10DembJGiYoM16f+/tWtbRcmwXvE2bUMUEugtN11Ww/JauTVZPpi9U1uFNMdwXDsPZcjkBftl6I31DGMJcD+BDRs2SIsWLQwn/uKLL8q2bdtk6tSpcu+998rHH38s3t7ehucRgEB5BDy15PoOzeMtp27YnkBSaXkQOQcBBBBAAAEEEEAAAQQQQAABBCpN4P3vd8j2A7YtDHBmkPGxQXJ502rStE6oxFUPkOAAb8vuVRnZBXLoeI5s2X9Slm9JLlO7+xKzZMzUrTLqHuOt0c+Mg6/OK9C+fXvdpNLVq1dLcXGxeHiwAIXzXmVGjgACCJRPYPLkyeLn5ycdOnSQuLi48jXi4mdd1aK6blKpmv6Hc3bJe/9pXWESH/2wy7Dtzto4KQgggICrCJBU6ipXknkggIChwPQ/EmxK9PTz8ZBn7mgs17aOMmyztIDLGkfKpPhweXfmdvl9dWJpIecdm7Zwv1zfLlpiIwPOO8437iugbh4+++yz8s4778jMmTOlb9++hhiTJk2SG2+8UQYMGGAYSwACCCCAAAIIIIAAAggggAACCCCAAALuKLBwTaL8arBt6bkuVzarJgO71ZEGcSHnHj77PtDPS6Kr+kvbBlVl8PV1Ze/RTJmiLSLwx9pjZ2P03vy96bj88PchueXKmnph1LmAgEoq1SuZmZmydetWadq0qV4YdQgg4GICc/9aa5lRQWGRi82M6ZRF4Pnnn5dDhw5ZTomJibEkl1522WWWr23btpXAwMCyNOeSsV1aR8tHWtKo3uJR63adkDlLDkrvTuYn5qrdStVqqHrF06OKdGlTvvwCvXapQwABBCpLgMfdKkuefhFAwK4C6onx6X8mGPYZ6Ocp7z7UutwJpWc68NOW4X9+QBPp36X2mUNWvxYUnZKvf91ntZ4K9xLIyMiQXr16ydixY+XUqVMyePBgWbNmjSGCeoKRhFJDJgIQQAABBBBAAAEEEEAAAQQQQAABBNxUQN0jVskItpSqwT7y1gMtLauIWksoLa2dejFBMmJQUxn339YSFe5XWkiJYxPn75aU9LwSxzngWgJGSaVqtitXrnStSTMbBBAwFMjKyRP1yi8oNIwlwDUFEhISziaUqhkePXpU5syZI8OHD5err75aQkND5dtvv3XNyZdhVqHarqHd2kYbnqFWE12zUz/507CRCwJUsuoHs3ZccLTkt2oX1KrBviUrOIIAAgg4qQArlTrphWPYCCBQNoE5Sw5Jdp7+U37q6aHX720hjbUtjMwq9/eIl3TtZuX85Ud0m1RPrg+5sZ7ERPjrxlHp2gLqD8cePXrIpk2bzk40OzvbkmS6atUqqVGjxtnjvEEAAQQQQAABBBBAAAEEEEAAAQQQQAAB2wUm/75fTmTmG56gtrp/U0sojQgpf1JAC20nq4lPtZcXPt8gm/ad1O0zK7dIJv20V565s5FuHJXOLVCvXj2JjIyU5ORkqxNZtGiR3HPPPVbrqUDAVQUObftHFk8eber08rL0/+1VnW1fOk+S9m8ztd+6rTpLx9seNbVNGnNtgb///lt3gkVFRdKoEb8jKKS7rqsjv/1zVIpPWScr1BZzUr9/vTKkuVzWKMJ6oI01q3ekyohJG0UtEqVXqlQRGaCNj4IAAgi4kgBJpa50NZkLAgiUKqBWe5y//HCpdecevPfm+tJSu9lndnm0TwPZfiBddh/OtNq0Wqr/l5VHZOhN9a3GUOHaAsuWLZPevXtLUlJSiYkePnzYkli6ePFi8fcn8bgEEAcQQAABBBBAAAEEEEAAAQQQQAABBBDQEUjTkkl/XHpIJ+J0Vf0aQfL+f9tIkP/Ff3wWoq2o9faDreTJj9fJlv36yU0qQWLwDXVtXt3UcCIEOKRAhw4dZP78+VbHpu7/UhBwR4Gc9BRJ2GD/n/+M5COiXmaW4Aj9lRQDwiKl/xtzdLsMCI3UrafStQSMkkqDgoKkZcuWrjXpcs6mZrUAuaVTTZm9WP93utz8Ynnus/WWBZ36d60jamGpshb12b3aBfWLn/eKem9Uel4eK7WjA43CqEcAAQScSsDDqUbLYBFAAIFyCGzYkyZJafrbB6mbhf2uqVWO1o1P8fbykKduN36C7PfVicaNEeGSAt98841ce+21pSaUnpnw6tWr5e677xaVJE1BAAEEEEAAAQQQQAABBBBAAAEEEEAAAdsF5i49LHkFxbonhAR4yej7W5iSUHqmIz8fT213rOYSGaq/6qlKVpi16OCZ0/jqogKdO3fWnZnayUq9KAgg4LoCXt6+UrtFJ91XtTrGnynaS6ioIF8K8nJ0X/Yai6v2Y5RUqh5I8PT0dNXpl3le92gLNEWE+Biep/JAJ2kJofe9vUqWbbG+SnhpDa3YmiwPvLNKJs7fY1NCadVgH1GLV1EQQAABVxO4+EctXU2E+SCAgMsJqF/8jMpQbev58jylZNTumfqGtULkymbV5O9Nx88cKvE1MTVX9idmSp3ooBJ1HHBNAZUg+vzzz8uYMWNsmuDMmTMtW1y8/PLLNsUThAACCCCAAAIIIIAAAggggAACCCCAAAJi2SrVyOHx2xpK9TA/o7Ay14cF+ciz2tb2T09Yr3vuwjWJ8kDP+Aq9T607ACorXMAoqVQNYNGiRTJo0KAKHwsdIOCoAv6+PtL80jhTh+epLf5yptSuESlhwQFnvjXl66GkVDl87IQpbTlaIzNeusNwFdknvtsnvgHBjjZ0pxhPSkqKbNmyRXesV155pW69u1UG+nnJiEFN5YmP1ooNC4jK3qOZ8vzEDRIb6S/Xto6S1pdUFbXYlFpR/kzJyC6QPUcyZe3OVPlj7TE5nJxzpsrwq9r2/oWBTSQ44N/2DE8iAAEEEHASAZJKneRCMUwEECi/wNqd+n/IRYX7yeVNK34riVu15fj1kkrVDNftOkFSafkvtVOdmZWVJQMGDJAffvjB5nGrLS5at25tczyBCCCAAAIIIOC+An9Oekm2/G+WqQB52RmG7c0ZPVQ8tVU3zCw3PvyuxLfvZmaTtIUAAggggAACCCDgRgK7DmUYJgc0qxsq17SKqjCVdg0jpGPjCFm+NcVqH6kZ+bJxzwlppSU7UFxTQN3bDQ4OlowM639bkVTqmte+LLNK3LNRCnKyynKKYWxu5knDmEPbVomvv7mLnsRc2kq8fMqWrO/j4yX1a1Xcv8eR4cGiXmaW7Lx8l00qNdPJUdoqLCyWg4mn/3uclaO/02VFj/nPP/803KGQpNKSV6FlfLjc3yNeJszdXbLSyhGVKDr59/2Wlwrx8fYQP+2Vq61kn2+wmr2VJi2H1cqpbS7ldzc9I+oQQMB5BUgqdd5rx8gRQMAGgcKiYsuTRXqhV7esLlXUY0QVXNQvuGFB3pKWWWC1p50Hrd9MsnoSFU4ncPDgQenZs6esX6+/OsG5E6tVq5bMmzdPmjdvfu5h3iOAAAIIIIAAAqUKqA+MMlMTS62ryIM5GfoPdJWn78L83PKcxjkIIIAAAggggAACCFgE1mirThmV/l3rGIVcdP1d19XRTSpVHazRFkggqfSiqR22AbV98RVXXCG//vpriTEGBATIVVddJSQPlaBxuwO/fPC4JO7eYPd5f/fynab3OezzfyQ8pm6Z2lU7vOXlW/8crUyN/X+w+gzQx/t0WkRhUZEUaZ8dmlnMbs/MsdFWSYEcLQl4yZodJSsq4ciCBQt0e/X29pYOHTroxrhr5R3X1paUk3ny3aKD5SJQiaQXk0yqOlULSg3Qfr+jIIAAAq4qQFKpq15Z5oUAAhYBtaV8kcHa960uCbeLlodHFWlRP1wWbUiy2t+BpGyrdVS4hsDKlSvllltukcRE25M8OnbsKHPmzJGoqIp7Otc1dJkFAggggAACCCCAAAIIIIAAAggggAAC5wts3Jt2/oELvqsa7CPtG0VccNT8b5vWDbNsvaq3parRWM0fFS3aW6Bz586WpFIvLy9p3769dOnSRbp27WpJGvLx8bH3cOgPAYcTSM/MkVkL/jF1XP6+3tK7aztLmxu2H5Ad+4+a2r67NNa6UR2pE1tNS8QrlPmL1rnLtCt0nkZJperzwcDAwAodgzM3/p/el4qXl4dM+yPB7tO47eo4eajXJXbvlw4RQAABewqQVGpPbfpCAAG7CySdMF7VqE60/X4ZrxsTqCWVWmdISjMer/WzqXF0galTp8o999wjubm2X+e77rpLJk2aJL6+5m4j6+hWjA8BBBBAAAEEzBOoq93wjzd56zh/v38/7OzUpoHpq3ys3LhH0rNyzEOgJQQQQAABBBBAAAG3FUhI1N9Gul3DquKpLQhgj9KhcaTMWmx9RS2jsdpjjPRRsQL9+vWTpk2bikouDQ42dwvuih05rVeGgK+2uqanp4epXXtpK+aqolbvDDjnb3uzOsnOzTerKdpxMAFvL0/x0xJ07bD5o+kz9wkIlqh6zXTbDYqI1q03u3L37t2yf/9+3Wavu+463XoqRR7oES9R4X7y4ZydUlh0qsJJ1O+MKpm0T+e4Cu+LDhBAAIHKFiCptLKvAP0jgECFCmTnFRm2Hxlqv2S9iBD9vnJsGK/hhAhwOAG1XcvIkSNl1KhRNo9N3dB57bXX5IUXXrD5HAIRQAABBBBAAIHSBAL8faRa1ZDSqkw5VjU0yJR2zm1ErTJAQQABBBBAAAEEEEDgYgXULlZqNyu90qh2qF61qXWNauv/Xn4yq0AycwolyJ+P70yFd6DG6tWrJ+pFQcAWgXbN6kutmIpZSVklCN7Spa0twyhTzLSflknFp3WVaUgEIyA1G7WToeP/ciiJhQsXGo6HpFJDIkvALVfWFPU71qjJW+RgBe4KGhvpLy8ObKL1Zb/fHW0TIAoBBBCoGAH+Kq0YV1pFAAEHEcgvKNYdiXqazsvkpzz1OvQx+HDcaLx6bVPnmALZ2dkyaNAgmTVrls0DDAgIkMmTJ8utt95q8zkEIoAAAggggAAC1gSyc/LleGq6tepyHVcrlQYF+FnOTT2ZafpKpYWF+r/Hl2vQnIQAAggggAACCCDgdgLZuYWiEkv1So0If71qU+tUMoJRycguIKnUCIl6BMopkKL9/bpkzQ7L2Se1bdYpjiFQv21XeeK7faYO5siONTL9xb66bba+eahcffcI3ZiyVnp6eZf1FOLdVODXX3/VnXlYWJi0bWt+4rdup05c2SAuRL545jKZ8VeCTFmYIGYu5OTv4yl3dKktd2ovo8/6nZiQoSOAAAIlBEgqLUHCAQQQcCUBP9/T23hYm5O2gKTk5ReJr/bLoD1KjtaXXvHzYUUmPR9nqzt8+LD07NlT1q5da/PQa9asKXPnzpVWrVrZfA6BCCCAAAIIIICAnsC+w8dFvcws8bWipL22Yooq6gO5rJw8M5unLQQQQAABBBBAAAEETBGwJaHAnquCBvoZfyxny5hNwaERBNxQIDevQA4mpjjNzPccPCZJKSdNHW/tGpGW3UwKi4pk/bYEU9tWjemn8ZfenYenl/hq25ObWbx9AwybUwmgZvdr2CkBCGgCubm5YrRS6TXXXCOenvb5/NpVLoq3trjTgOvqSq8rasqsxQdl3rLDkpKeX+7pVQ3xke4dY6XvVXESEkjCeLkhOREBBJxWwPivV6edGgNHAAEERIL8jH/ZTjyRK7WjAu3CdUzrS68Esq2RHo9T1a1evVp69eolR44csXnc7dq1kx9//FFiYmJsPodABBBAAAEEEEAAAQQQQAABBBBAAAEEEChdwMND26rKoBitZGpwepmqi9UqBwbFg3UHDISoRsB9BI4eT5OjJk83LCTAklRarK3ivDMh0eTWaQ4BBGwR+OOPPyQrK0s3tFu3brr1VFoXCA7wlrtvqCeDutWVtbtSZemmZO3rCUk4pm+uWqwVFSCtL6kqlzeJlDYNqoqnDb9LWh8JNQgggIBzC5BU6tzXj9EjgICBQLQNWxftPpxht6RS1ZdesedWS3rjoO7iBGbOnCl333235OTYvn3O7bffLl999ZX4+Z3eRvbiRsDZCCCAAALOLHAyI1tWbdpjmUJGlu3/LXHmOTN28wX8gkIlKCLa1IbzsjKkIFf/5qt/iHaz1dvH1H69fPj9yFRQGkMAAQQQQAABBNxIIMBgJytFkZ5VYDeRk5nGfQX48tGd3S4IHbmFQM0ml8k1Q1/WnWt0fEvdeioRQAABMwXUjoVGpXv37kYh1BsIqIeL2jaIsLxUqFoN/tDxbElMzZGs3CLJK9B2M/X2lEBtkaqocD+pWT1A+D3MAJVqBBBwKwH+MnWry81kEXA/gephfuKvbW2vt+386h2p0qW1uR+4lyadl18km/amlVZ19lhcdfusmHq2Q96YLjB9+nTp37+/nLJh1QHVeZUqVeSll16yvEwfDA0igAACCDilQCy4hdMAAEAASURBVHZuvuw+cMwpx86gHUfg2nteEfUys/z15auy4vsPdJvsPXyS1G7RSTeGSgQQQAABBBBAAAEE7CXgryWV+np7aEkDxVa7PJCUJVdINav1ZlYcSMo2bC40iO1VDZFcOCAzM1N+++03y45Ww4cPl8aNG7vwbO0ztej6zUW9nKU0ueY2qdXsClOHu33pXElPOqTbZpvu92gPifrqxpS10jcwtKynEI+Aywuozw/nz5+vO89WrVpJzZo1dWOoLLuA+r3wkprBllfZz+YMBBBAwP0ESCp1v2vOjBFwO4FGtUMsS9pbm/iSjcflsb6nn0SyFmPG8b83H5fcfOs3L1UfjeuEmNEVbVSiwE033WS50bdlyxbDUfj7+1tWJ+3Xr59hLAEIIOD6AimHd0teVrqpE81JTzVs7/j+LZKTYRxn2NA5AZG1GoiPHw9KnEPCWwQQQAABBBBAAAEEEEAAgUoQUA90x2mrTu0+nGm19417T8qdXaxWm1phtOiAWiVLrZhFcS+BxMREmTdvniWRdOHChZKXl2cBqFevnrz88ssujbF10WxJ2qd/L/2yPg+Lf3CYSzucO7n2tww791tT3h/fv9UwqfSqgc+L2vWEggACFSuwZs0aOXLkiG4nPXv21K2nEgEEEEAAAXsIkFRqD2X6QACBShVofWm4blJpZk6h/LziiPTuFFeh45z51wHD9ltfUtUwhgDHFggJCbHcAGzfvr0kJydbHWyNGjUsNwnbtm1rNYYKBBBwL4HfP35W9q9fZPdJzxo12PQ+B7/3u9S4tLXp7bpyg1Haihkd+j6iO8VqdRrp1lOJAAIIIIAAAggggAACCCBQUqBeTJBuUunanamSnVsoAX4V+5FZYVGxrNhq/X6hGnm9GB7QLHkFXffIJ598IpMnT5YVK1aUuvPVrFmzXD6pdOeKX2Tb4jm6F7nF9QPdKqlUF4NKBBBweoHZs2cbzoGkUkMiAhBAAAEE7CBQsX8h22ECdIEAAggYCVzZrJp8/tNe3bBvftsv17WNkSD/ivln8c+1x2THwQzdMTSIC5bIUHO3FtHtkMoKE6hbt67MmTNHunTpIvn5+SX6ad26tcydO1diY2NL1HEAAQQQQMA9BWIbthX1oiCAAAIIIIAAAggggAACCJgr0DI+XH5fnWi10byCYlmwJlF6XVGx28wu2pAk6dmFVsehKlqx6ICuj6tVqtXqli9fbnVamzdvlh07dkiDBg2sxjh9hbYNNAUBBBBwJ4GZM2fqTld9dqg+R6QggAACCCBQ2QIVkz1V2bOifwQQQOAcgTrRQXJpzWDZech6UueJzHz5YPYOef6uJuecac7blPQ8GT97p2Fj17ePMYwhwHkErrzySvn0009lyJAh5w26b9++8vXXX0tAQMB5x/kGAbMEstKOS8KGJWY1Z2nnZNJBw/bSju4XtV2VmSWkWqzUbHyZmU06TVtenh7iqb3MLKrNM8XPx1tOaf8zs+Tl638wZmZftIUAAggggAACCCCAAAIIIICArQJtGxjvDjXtjwS5Qbs/W1FbzxcVn5Jvf99vOOS2DY3HatgIAU4j0KdPH5k0aZLueL///nt54YUXdGNcpTIiNEjCQ0+v1rv7wDFXmRbzQAABBM4KqIcJ9uzZc/b70t6wSmlpKhxDAAEEEKgMAZJKK0OdPhFAwO4CvTvVlDenbdPt9/d/EqVBzRDp0zlON64slXn5RTLyi02iklb1SqCfp3TTVkqluJbA3XffLVu3bpW3337bMrEXX3xRXn31ValSpYprTZTZOJTA8YRt8uNb99t9TAkbl4h6mVkuvfxmt00qbd24rsTXijKT87y2br2u3Xnfm/HNrAWrhMRSMyRpAwEEEEAAAQQQQAABBBBAwEyB6uF+0rx+mGzck2a12cTUXJmyYL8Mvam+1ZiLqZi16KDsS8zSbaJuTKDUiwnSjaHStQS6du0qYWFhkpZm/WfT5ZNKz7lXXjO6qjSJP71iMEmlrvWzzmwQQOC0wIwZMwwpbrvtNsMYAhBAAAEEELCHwL/LFdmjN/pAAAEEKkngurbREqXdPDQq4+fslB/+PmQUZlN9dl6hPP/5Btmy/6RhfO9OcRLkT56/IZQDBOTl5cnAgQNl3LhxNo1mzJgx0q9fP5kyZYq89tprJJTapEYQAggggAACCCCAAAIIIIAAAggggAAC5gncaMMuUd9qSaXrdqWa1+n/t7T9QLpMnL/bsN2bLqthGEOAawl4e3uL0Yp069evl+3bt7vWxJkNAggg4IYCp06dkpkzZ+rOPCoqSjp37qwbQyUCCCCAAAL2EiCDyV7S9IMAApUqoLb8vb9HfXntmy2G43j/+x2yX3tq/MFe8eXe7ihBO//lrzYZPn2uBhMe5CN3XFvbcFwEVL7AsWPHpHfv3rJ8+XKZNm2aNGjQQG644QbdgXl4eIgtTx7qNkIlAuUU8PCoIuEhp7eMKmcTJU7z9vI8eyzA31ciwsxdQSMnr0Cyc/LO9uGubw4cTZb0rBxTpx9bLVyiIkMtba7btl9Omdq6SGFhsckt0hwCCCCAAAIIIIAAAggggAAC5gioRQe++GWvHE+zfs9B26FeRmi7Tr33n9ZySc1gUzo+cCxLhn+2XgqK9P8KDwnwkps7klRqCrqTNdK3b1/55ptvdEc9efJkef3113VjqEQAAQQQcGyB1atXS0JCgu4g1Sql6nNFCgIIIIAAAo4gQFKpI1wFxoAAAnYR6NI6Wn5ecUTW7Dxh2J9arXTVthQZ1jNeOjWvZvPqkhnZBTL9zwMy868EwxuFZwbx0C2XsErpGQwH/rpx40bp0aOHHDhwwDLKoqIiuf3222XFihXSqFEjBx45Q3NngQA/H7n+iuYVRnBJ7WhRLzPLtr1HRCU8untJTD4p6mVm8fX2OptUqpwpCCCAAAIIIIAAAggggAACCLiLgFp0YMB1deS973boTjkzp1Ae+3CNvDKkmbRtEKEba1S5aW+avDhpo5zMKjAKldu1RQcCfPnIzhDKBQO6desmISEhkp6ebnV2ahesUaNG2fw5hdWGqEAAAQQQqDSBdu3aybJly+Tbb7+1rFianJxcYixq50MKAggggAACjiLAYw6OciUYBwII2EVgeP/GEhrobVNfR1JyZOSXm2TgG8tl8u/7ZMfBdCksKrkKm7rRuGxLsrw5bav0e3mpTFm43+aE0i6to0Q9JU9xbIG5c+fKFVdccTah9Mxo1Y2+7t27S0pKyplDfEUAAQQQQAABBBBAAAEEEEAAAQQQQAABBxTo0TFWLrVhBdKs3CJ5esJ6+eTHXZKTV1TmmeQVFMmX2qqoj3241qaE0prV/KXf1bXK3A8nuIaAr6+v9OnTR3cyamW7xYsX68ZQiQACCCDg+AIdO3aUjz76SI4cOSLz5s2TO+64Q/z9/S0Dj42NlSuvvNLxJ8EIEUAAAQTcRoDHHt3mUjNRBBBQAtXC/OTFgU20LYc2SJHaz8iGcuh4jkz6ea/l5altJR1d1U8C/LykSNuyKC0rX1LT821opWRInehAebJfw5IVHHEogbfffluGDx8uxcUlE4rVQPfu3Su33nqrLFy4ULy9bUtYdqgJMhiXFlBbyS9evd3UOXp5ecjlLS+1tLn/8HE5cNTcpOqM7FxTx+tMjV3S4UapGhtv6pD3rftLThzZq9tmk2tuE9+AEN2YslYGhlYr6ynEI4AAAggggAACCCCAAAIIIFChAh7avd2n72gkD733j+GiAKe0W8cz/jogC1Ynym1Xx8n17WOkarCv7vjUiqQLVh+1nHc8LU839kylNiR5+vZG4q3db6G4r8DAgQPlyy+/1AWYPHmydO7cWTeGSgQQQAAB5xBQnyeqRWvUKyMjQ2bPni35+fmsSO0cl49RIoAAAm4jQFKp21xqJooAAmcE2jWMsNw8HDN165lDNn9ViaiHk3NsjrcWWD3MV94a1tKSnGothuOVK6D+eLv//vvl66+/NhyIekr8wQcflM8//9wwlgAE7ClQpK2ufOhYqqldent5nm3vZEa26e2fbdwN37Ttca/ps/7hzfsMk0o73fWshMfUMb1vGkTAFoGDm5fLsX1bdEMbXdlTAsOr68ZQiQACCCCAAAIIIIAAAgjYInCJtlLpg7dcIh/M2mlLuKRm5Mun8/bI5z/tlYa1QqRp3VCpWS1AQrTdsLR8UMnIKRC1KMGW/Sdly76TNi9kcKbzu2+oJy3iw898y1c3Fbj66qslLi5ODh48aFXgu+++k/Hjx59d0c5qIBUIIIAAAk4lEBwcLIMHD3aqMTNYBBBAAAH3ECCp1D2uM7NEAIELBG7Qniwv0laefGfGdrFxwdILWij/tzUi/GXsg62kurZqKsUxBY4fP25ZffTvv/+2eYBz586Vw4cPi9qegoIAAggggAACtglsXzpXVs+dqBscc0lLkkp1hahEAAEEEEAAAQQQQACBsgjc2ilOEhKz5Melh20+TS02YEkc1ZJHzSpdWkfJwG51zGqOdpxYoEqVKjJgwAAZPXq01Vmkp6eLSiwdNGiQ1RgqEEAAAQQQQAABBBBAAAGzBEgqNUuSdhBAwOkEbu4QK+FBPvL6t1skK7fILuNvXCdERt3T3HCrJLsMhk5KFdiyZYtlu4n9+/eXWl/awWbNmsm8efNIKC0Nh2N2F6hao750ufc1U/vNSDkqq+Z8rNtmjQZtpFGnW3RjyloZXqNuWU8hHgEEEEAAAQQQQAABBBBAAAEEEDAUeLRPA8nMKZQ/1h4zjK2IgI6NI+S5uxqzzW1F4DppmwMHDtRNKlXT+uyzz0gqddLry7ARQAABBBBAAAEEEHA2AZJKne2KMV4EEDBV4PKm1WTiU5fJK19vkh0HM0xt+9zGtAeN5fZrasm9N9cXL0+Pc6t470ACP//8s9xxxx2SkWH7z0L37t1l6tSporanoCDgCAIh1WKlfe8HTR3Ksb2bDZNKq9VpbHq/pk6CxhBAwOEFggJ8JSQowDLOxOQ0Kbb3cvIOL8QAEUAAAQQQQAABBBBAwCwBD48q8sKAJhIc4C0//H3IrGZtaqdb22h55s5G3Ce2Sct9gho1aiRt2rSRNWvWWJ300qVLRS2K0KRJE6sxVCCAgPsKfPdyf0k+uMNUgMxU44cvJv3nKqniYe5nn3e9OU9CImuYOhcaQwABBBBAAIGyCZBUWjYvohFAwAUFakT6yyePt9O2Ozokk37ea3lC3cxpNqwVIo/f1kAaxIWY2SxtmSzw3nvvyVNPPaUlsBTb3PKTTz4pb731lniY/MeyzQMgEAEEEEAAARcSiI2qKm0an16hePbCfyQ3r8CFZsdUEEAAAQQQQAABBBBAwNEEVGLpY30bSP0aQTJ+9k7JL7T9vmB55uKp9fdAj3jppy0+QEGgNIH77rtPN6lUnfPpp5/KBx98UNrpHEMAATcXSE85ImmJCXZXOJl00PQ+i4sKTW+zMhrctm2bpVv14AAFAQQQQAABZxMw95ERZ5s940UAAQT+X0DdQOzdKU5mvHSFtppoPW17ep+LtmlaN1RG39dCJjzRjoTSi9asuAYKCgpE3ax74oknbE4o9fHxkUmTJsnYsWNJKK24S0PLCCCAAAIIIIAAAggggAACCCCAAAIIVLhAj8tj5dMn24m6n1tR5dKawfLx421JKK0oYBdpt3///hIUFKQ7m8mTJ0tOTo5uDJUIIIAAAo4h8Pzzz0vjxo2lc+fOMn36dMnPz3eMgTEKBBBAAAEEbBBgpVIbkAhBAAH3EQj085IB19WVO7vUkdXbU+Sv9UmydmeqJKXlGSJoeanSQFuVtF2DqnJd2xiJq356+1bDEwmoNIGUlBTp06ePLFq0yOYxREZGyqxZs+Sqq66y+RwCEUAAAQQQQAABBBBAAAEEEEAAAQQQQMBxBerGaKuVPtJGFqxJlMm/75eDSdmmDDa6qp/c1bWO3NyhhvZwunYDmYKAjkBwcLDceeedMnHiRKtRaWlplsSkIUOGWI2hAgEEzhfI0XbDUbviqFJQUHR+pYt+1+ySOKlWNdjU2YUGnf7c09vLS669rLGpbavG/ly51fQ2K7PBhIQEmTt3rmUIixcvFvWqVq2aDB06VO6//36pV69eZQ6PvhFAAAEEEDAUIKnUkIgABBBwRwG1FdFljSMtLzX/pBO5knAsSw4n50hGdoHk5BWJp2cVCfD11FY19bUkkNaJDpQALSmV4hwCasuJHj16yJ49e2wesHqacN68efyhZ7MYgQgggAACCCCAAAIIIIAAAggggAACCDiHQJUqVaSbtlhA19bRsnTzcfll1VFZuTVFiopPlWkCKne0rbbwwPXtY6Rzi+ri5cmmgWUCdPNglWikl1SqeMaNGycklbr5DwrTL7NArpZY6k4lLCRAoiPDKmTK6iGJimq7QgZcSY1+9NFHJXZIPH78uLz55pvy1ltvSbdu3eTdd9+1rGRaSUOkWwQQQAABBHQFyH7S5aESAQQQOC1QPdxP1KsdIC4h8Ntvv8ntt98uJ0+etHk+N9xwg8yYMUNCQkJsPodABBBAAAEEEEAAAQQQQAABBBBAAAEEEHAuAZUs06l5dctLLTCwYU+abNh9QvYezZJDx7MlLTNf8gqKLZPy9faQkEBviasWIGrRgRbx4dJSe4VqxygIlEegbdu20rp1a1m7dq3V0zds2CB//fWXXHPNNVZjqEAAAfcWyMzOldSTmaYiBPr7iq+PtxSfOiVp6Vmmtu1qjeXk5MikSZOsTuuUZvjHH39IaGio1RgqEEAAAQQQqGwBkkor+wrQPwIIIICAXQXGjx8vjz/+uBQV2b7FyaOPPirvvPOOtjqtp13HSmcIIIAAAggggICjChRrqzXlFxRahle2dZscdUaMCwEEEEAAAQQQQACBkgLBAd5yZbNqlte5ter3YfV7sNrxioKA2QIPPPCAqJdeef/990kq1QOizu0FqtVpJAPH/qLrEFw1WrfemSvXbUswffiXNasv9WtFSYF2P+jXvzea3r4rNThlyhRJTU3VnVLv3r0lNjZWN4ZKBBBAAAEEKlOApNLK1KdvBBBAAAG7CRQWFsrDDz8sEyZMsLlPb29v+fDDD0VtOURBAAEEEEAAAQQQ+Fdg76EkUS8KAggggAACCCCAAALuKKBWM6UgUFECAwYMkOeee043IWn+/PmyZ88eqV+/fkUNg3ZdVCApJV20RRK1hTdOr7jsotMU34BgqdmI/Qdd9fo68rzUKqTjxo0zHKL6zJKCAAIIIICAIwuQVOrIV4exIYAAAgiYJqD+iNu6davN7VWtWlW+//57nva2WYxABBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgYsVCAgIsCx0MGbMGKtNFRcXW5KWPvjgA6sxVCBQmsD+I8miXhTXE/ALDBX/4HBTJ5aXnSHFRad3qrHWsF9QmFSpYu7DFlWqeFjrzuGP//zzz7J582bdcbZo0UI6deqkG0MlAggggAAClS1AUmllXwH6RwABBBCwi4BadXT27NnSvn172bt3r26fDRo0EPWkd3x8vG4clQgggAACCCCAAAIIIIAAAggggAACCCCAAAIImC3wn//8R8aOHStqB64Li4+Pj9x1110ybNiwC6v4HgEE3FjgrjE/mj77qc/fKgkbFuu2+9CX6ywrw+oGuVHlm2++aThbVik1JCIAAQQQQMABBEgqdYCLwBAQQAABBOwjEBERYUkW7dixo5w8ebLUTq+77jqZOXOmhIWFlVrPQQQQQAABBBBAwF0FOt31jHS87VHd6fv4B+rWU4kAAggggAACCCCAAALuJVCobbG942CGbEs4KQeOZUtiao5k5RZJbn6R+Hp7iL+vl0SF+0lc9QBpWCtYGtcJ1Y57uhdSKbOtWbOm3HbbbTJt2rSztaGhoZZE0kceeURq1Khx9jhvEDASiL6kpVTx0F/50cOLtAEjR+oRMBJYvny5LFmyRDcsMjJS+vfvrxtDJQIIIIAAAo4gwG+HjnAVGAMCCCCAgN0EGjVqJNOnT5fu3btLUVHRef2qp7/ff/998eLmyXkufIMAAggggAACCCgBLx8/ywsNBBBAAAEEEEAAAQQQQEBPoKj4lPyzPUV+++eorNiaIjl559+H1TvXx8tDWl8aLte3i5ErmlUT9b27lscee8ySVKoSTNX7+++/X4KDgyuNY7+2WmHWiSRT+z957IBhe7tW/iqBYZGGcWUJqNemi+nbhJelf3vHXj34RXt3SX8IuKWALauU/ve//xV/f3+39GHSCCCAAALOJUBSqXNdL0aLAAIIIGCCwA033CDvvvuuPPro6ZW2VBLpuHHj5KGHHjKhdZpAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQTcT0CtSvrrqqMydWGCHEnJKRdAfmGxJRFVJaNWDfaRftfUkl5X1NRWNHW/1Uvbt28v8+bNk+uvv168vb3L5WnmSctnjpP96xeZ2aRNbf0x0fyEyMHv/e5WSaU2QROEAAIXJbBt2zaZO3eubhsBAQGikkopCCCAAAIIOIOA+z7e5wxXhzEigAACCJRJQG1p/8UXX9h0jtoi6IEHHrBsc//LL7+QUGqTGkEIIIAAAggggAACCCCAAAIIIIAAAggggEBJgQ27T8i9b6+SsTO2lzuh9MJWUzPyZcLc3TJotLad8EZzV8i8sC9H/V7tuOUICaWO6sO4EEAAAUcReO211+TUqVO6w7n33nslIiJCN4ZKBBBAAAEEHEWAlUod5UowDgQQQACBixLYs2ePZUv77du3S5UqVWTIkCGG7X344Yfy7LPPSt26dQ1jCUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBA4X0CtTvr5T3tl+p8J51eY+N3xtDwZ8cUmua5NtDzRr6FbrlpqIqcpTQUF+Iqfr48pbZ1pJMDP98xbqRYeLPqpWWdDbX6TkpahJXzZHE4gAgggYLPA1q1bZcaMGbrxatfEJ554QjeGSgQQQAABBBxJgKRSR7oajAUBBBBAoFwC//vf/6RPnz6SmppqOX/YsGESHx8vnTp10m1P/QFHQqkuEZUIIIAAAggggAACCCCAAAIIIIAAAggggECpAhnZBfLCpI2ycU9aqfVmH1ywJlF2HsqQt4e1lOrhfmY3T3tlEGhcv6bE14oqwxllC73u8mZlO8GG6FkLVklefqENkYQggAACZRN49dVXpbi4WPekO+64Q2rXrq0bQyUCCCCAAAKOJODhSINhLAgggAACCJRVYOLEidKtW7ezCaXq/Pz8fLn11ltl3759ZW2OeAQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEDgdSMPHlk/Bq7JZSeGU7CsSz5z/urRX2l/Cuwdu1amT9//r8HeIcAAgggYBeBLVu2yHfffafbl9phUe2cSEEAAQQQQMCZBFip1JmuFmNFAAEEEDgrUFRUJE8//bS89957Z4+d+yY5OVl69Oghy5Ytk5CQkHOreI8AAgi4pUDqySzZeyjJ7eZ+StvXLPXQLt15e/n4S2hUnG4MlQgggAACCCCAAAIIIIAAAgggcFogK7dQnpmwXvYdrZzEzuMn8+SpT9bJR4+1leph7r1i6aZNm+Sll16SOXPmSPXq1WXPnj0SFBRU4T+qOxOOyuGk0zuHmdVZvdjqEhcTYWlu8ertckr7n5mloKDIzOZoy4UF0o4dkC/+21l3hg2u6CE3P/aBbgyV7iHwyiuvGK5Setttt0nTpk3dA4RZIoAAAgi4jABJpS5zKZkIAggg4D4C6enpcuedd8rPP/+sO2n1dKCKmzdvnnh4sDi3LhaVCCDg8gIHE1NEvdytFBXmy2fDLtedds3Gl8nAt3/SjaESAQQQQAABBBBAAAEEEEAAAQRE1MObL3+1SXYfziwzR40If6kfGyRR2tb1vt6ekl9YJMlagujeI1llXnn0eFqePPvpepnweDvx9fEs81ic/YTt27fLyy+/LDNnzrRcEzWfpKQkyyIMI0aMqPDppaVni3qZWSLDgs82d+iYuQmrZxvmDQI2CJzStjHPy87QjSzIy9Gtp9I9BNatWyfff/+97mTV55MjR47UjaESAQQQQAABRxQgqdQRrwpjQgABBBCwKqC2tFcrkKqEUVuKSjwdPXq0vPDCC7aEE4MAAggggAACCCCAAAIIIIAAAggggAACCCBgReDbBfvln+22J/xFhPhI7041pUvraInRkkqtldSMPPlrXZLMWXJQDh23LVlLrZQ6btZOeebORtaadbnju3fvFrUq3tSpU0tdGW/s2LHy4IMPSmRkpMvNnQkhgAACjibwzDPPnE3stza2fv36SZMmTaxVcxwBBBBAAAGHFSCp1GEvDQNDAAEEELhQYMmSJXLrrbeK2tre1nLVVVfJsGHDbA0nzkDg0NaVorZ+0SuXdrhRfPwrfoslvTFQV3ECRdpT2ht3nP4ZSEpNr7iOaNkUgchaDSSuqf4qnV4+vqb05SyNeHhUsQxVW1jF8Iafs8yJcSKAAAIIIIAAAggggAACCCBgD4F9RzPlq1/32dSVr7eH3H1DXenTuZb4eBnvIlU12Ff6XBUnva+sKb+uOioT5u6S9OxCw75+XnlEOresLpc1Or1tuuEJThygVont3r277Nixw+os1C5fapGFd955x2pMeSta3zxU4tt3K+/ppZ63aeF0ObZ3U6l1Zw5ecceT4h9S9cy3pnwNrVbTlHZoxD0EbuzUwjLRPQeTZOf+o+4xaWZpKPD777/LwoULdeNYpVSXh0oEEEAAAQcXIKnUwS8Qw0MAAQQQOC3w5ZdfWpJD8/PzbSYZOnSoTJgwQby9vW0+h0B9gTXzJ8nWRbN1g4Z9/g9JpbpCzl1ZXHxKNu8+5NyTcKPRX3nnU6JelH8Fel3TRvz9fGTfoeOyfMOufyt4ZyiQfGCnZJ04ZhhXloD05COG4Ym710uhyVuKVavbRAJM/kDKcCIEIIAAAggggAACCCCAAAJOLvDe9zukSLs3ZFRqVQ+Q14Y2l9rRgUahJerVw6A3dagh7bUk0Ze/2iSb950sEXPhgXHauL56roNNyasXnutM31epUkVeeukl6d+/v+6wP/roI3n00UelVq1aunFlrWxw+c1lPcUw/vD21YZJpc263inhMXUM2yIAgYoSCA85/W+Zvy+fNVWUsbO1W6wtvqFWKTUqd9xxhzRq5D6raRt5UI8AAggg4FwCJJU61/VitAgggIDbCag/zIYPHy5vv/22zXNXT/69+eab8tRTJFLZjEYgAggggAACBgLLZrwrW/73vUGU+dW/fzLc9EZve2mq6aurmD5IGkQAAQQQQAABBBBAAAEEHEjgn+0psnFPmuGIGsQFy9vDWklI4MUlX0WG+so7D7WSl7/cJMu3puj2eyQlR37RViztdYXrrz6pEpTeeustWb9+vVWTvLw8yz31qVOnWo2hAgEEEECg/AJTpkyRDRs26DagFrx55ZVXdGOoRAABBBBAwJEFSCp15KvD2BBAAAE3F8jMzLQ8dT1v3jybJYKDg0XdLFPbAFEqViDA31cCtNX+VEk+kVGxndF6pQr4B4dL8+v0V0Co2fiySh0jnSOAAAIIIIAAAggggAACCCCAAAIIVJzAtwv2GzYeE+Enbz7Q8qITSs905OvtKS8PaSaPf7hWtiaknzlc6tdpfyRI946x4qmtdOrKRa1W+sYbb8hNN92kO81p06bJww8/LB07dtSNoxIBBBBAoOwCv/zyi+FJDzzwgMTHxxvGEYAAAggggICjCpBU6qhXhnEhgAACbi6QkJAgPXv2lI0bN9osUadOHVEJqE2bNrX5HALLL3BJrShpEn/66f9pPy0T442vyt8XZ1auQEi1WLn5sQ8qdxD0jgACDiXgo32w5+1l7p+TvtrT+2dKoJ+v9kGgx5lvTfmanZsvp07xXytTMGkEAQQQQAABBBBAAAEE3ErgYFK2bDBYpVQlc758dzMJCzr9ELpZQJbEUq3doW+tlMycQqvNJqbmypodqdK+UYTVGFepuPHGG+Wqq66SxYsX607psccekxUrVohKRKUggAACCJgnoBa3ufXWW+WZZ56Rffv2lWhYLYAzcuTIEsc5gAACCCCAgDMJmPspoDPNnLEigAACCDiswLJly6R3796SlJRk8xivuOIKmTNnjlSrVs3mcwhEAAEEEEAAgfIJNKwbK00vqbhtBa+/snn5BqZz1k+L1snJzBydCKoQQAABBBBAAAEEEEAAAQRKE1iw+mhph887dmunmtIgLuS8Y2Z9Uz3cT4beVE8+mLVTt8nftXG6Q1KpQhgzZoxcfvnluh6rVq2SyZMny6BBg3TjqEQAAQQQKLtA3759pUePHjJu3Dh5/fXXJT393xW1VbIpn1eW3ZQzEEAAAQQcS8DcpV8ca26MBgEEEEDACQXUTa5rr722TAml6qbYn3/+yR9oTni9GTICCCCAAAIIIIAAAggggAACCCCAAAIIOLbAiq0pugP09faQu66roxtzsZU9L4+VamG+us2s2pbiNjtUqG3t+/Xrp+uhKp977jnJysoyjCMAAQQQQKDsAr6+vpbVSnfv3i1qu3tPT0+JiYmRJ554ouyNcQYCCCCAAAIOJsBKpQ52QRgOAggg4K4CajvaF154QUaPHm0zgdq254033pDhw4fbfA6BCCCAAAIIIHDxAoePpUpObt7FN3ROC1GRYVIr5vQ2heu3J0hBgfVtDc85zea3OXn5NscSiAACCCCAAAIIIIAAAgggcFogI7tAdh3O0OW4tlWU6dveX9ihl6eHdO8YK1/+svfCqrPfp2cXyp4jmRIfG3z2mCu/eeutt2Tu3LmSm5trdZpHjhyR1157zbKyqdUgKhBAAAEELkpArUo6YcIE+e9//yuHDh2SgICAi2qPkxFAAAEEEHAEAZJKHeEqMAYEEEDAzQXUk9IDBw60bF9vK0VgYKBMmTJFevXqZespxCGAAAIIIICASQIpJzNFvcwsHtoHhGeSSvceSpLcvAIzm6ctBBBAAAEEEEAAAQQQQACBcgioJE1tPQDdcnXL6rr1ZlVeo/Wjl1Sq+tl1KMNtkkpr164tTz75pGXbZT3jd99913L/vUmTJnph1CGAAAIIXKRA06ZNRb0oCCCAAAIIuIKAhytMgjkggAACCDi3wOuvv16mhNK4uDhZunQpCaXOfdkZPQIIIIAAAggggAACCCCAAAIIIIAAAgg4uMDBpGzdEWqbSUmz+mG6MWZV1ooKlKrBPrrNGY1X92QnrFTb29eoUUN35AUFBfLggw9qycEG2cG6rVCJAALuLlCs/RtSVFQsxcX8W+LuPwvMHwEEEEDAPQRYqdQ9rjOzRAABBBxaYMSIEbJgwQJZvXq14Tg7dOggP/zwg0RFRRnGEoAAAggggAAC5gnEt+8mQREx5jWotZSwYbEk7t6g22aTa26ToKrRujFlrQyPqVPWU4hHAAEEEEAAAQQQQAABBNxS4Hia9a3VFUhUuJ8E+Nrv48Y60YGSmpFv9VocT8uzWueKFWpHr9GjR8vgwYN1p7dkyRL56quvZMiQIbpxVCKAAALWBP7ZvFfUy92K2s5eJefXrVvX3abOfBFAAAEE3FzAfn/luTk000cAAQQQsC7g7+8vP/74o7Rv314OHz5sNbB///4yadIk8fPzsxpDBQIIIIAAAghUjEDjzreKeplZFnz6nGFSaZvu90hsw7ZmdktbCCCAAAIIIIAAAggggAACNgrk5BXpRlYN0V85VPfkclQa9ZedV1iOVp37lIEDB8rHH38sK1eu1J3IM888Iz179pSIiAjdOCoRQAABBP4VuP/++2XRokUycuRIefLJJ8XLixSbf3V4hwACCCDgygIerjw55oYAAggg4DwCaoselVgaEBBQYtBVtD2UXnvtNZkyZQoJpSV0OIAAAggggAACCCCAAAIIIIAAAggggAACCFSMQH5hsW7DPl72/ajR26C/AoPx6k7GSSvV/fMJEyaIp6en7gySk5MtCVG6QVQigAACCJwV+Pbbb+WXX36R7OxsGT58uLRq1UqWLVt2tp43CCCAAAIIuLIAj1G48tVlbggggICTCbRp00a+/vpr6devn5w6dcoyepVk+s0330ifPn2cbDYMFwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcG4Bf1/9REWjlUzNnr1Rf34++uM1ezyO0l7Lli3lkUcekffee093SOr+++233y433nijbhyVCCCAgBLo/dwkKSrI18Xw8Q/SrXfWyuPHj8tjjz123vA3b94sV155pajVS8eMGSNhYWHn1fMNAggggAACriRg38cHXUmOuSCAAAIIlEkgJSXFpvi+ffvKq6++aomNjY2VJUuWkFBqkxxBCCCAAAIIIIAAAggggAACCCCAAAIIIICAuQKBfvrr0ySm5prboUFrRv0F+uuP16B5p65W99XVPXWjopKh0tPTjcKoRwABBMQ/OFyCqkbpvtRqya5YVKJ+aZ9tqkVxPv30U2nYsKFMmzbNFafOnBBAAAEEELAIuO9fVvwAIIAAAgjYTWDNmjXSs2dPefDBB+XFF1807FfFFBcXy3333ScxMTGG8QQggID7Cnzz5A1yZOc6XYDh847p1lOJAAIIIIAAAggggAACCCCAAAIIIFC6QEyEf+kV/3/0ZFaBJKXlSvUwP904MyoLi4plf2KmblM1DMare7KTVwYFBcm4ceNELdygVw4dOiRPPvmkTJw4US+MOgQQQMBtBebNmyfTp0/Xnf+xY8dkwYIFcuedd+rGUYkAAggggICzCrBSqbNeOcaNAAIIOInA999/L506dZIjR47IyJEjZdasWTaNXMWSUGoTFUEIuLVAcXGRnDJ4uTUQk0cAAQQQQAABBBBAAAEEEEAAAQQuQqBW9QDDs1dvTzWMMSNg096TkptfrNtUrahA3XpXr+zTp4/cfPPNhtP8/PPPLclQhoEEIIAAAm4moFYnVSs6G5Xo6Gh55513jMKoRwABBBBAwGkFSCp12kvHwBFAAAHHFxg1apT069dPcnJyLINVW0IMGjRI1q5d6/iDZ4QIIIAAAggggAACCCCAAAIIIIAAAggggICbC9SrEST+Pp66CgvWJOrWm1W5YLVxP03qhJrVndO288knn0hISIjh+P/880/DGAIQQAABdxN44IEHJDHR+L8348ePl/DwcHfjYb4IIIAAAm4kQFKpG11spooAAgjYSyA3N1f69+8vI0aMEJVIem7Jzs6Wnj17WlYuPfc47xFAAIGLFWjTuI70uLqVdOnQ5GKb4nwEEEAAAQQQQAABBBBAAAEEEEAAAU3Ay9NDmtXTT9Rct+uE7DyYXqFeKel5stAgeTVOW1U1MtS3QsfhDI3HxcXJ2LFjrQ61evXqMmfOHBk9erTVGCoQQAABdxSYPHmyTTsu9u7dW/r27euORMwZAQQQQMCNBEgqdaOLzVQRQAABewiop/euvvpqmTZtmtXuDh8+LL169Tq7gqnVQCoQQACBMgj4+fpIcKC/BPnz4UEZ2AhFAAEEEEAAAQQQQAABBBBAAAEEdAU6Na+uW68qP/5xt2HMxQR8/tMeyS8s1m2iU7NquvXuVHnfffdJ165dS0xZJUJt3rxZbrnllhJ1HEAAAQTcWeDgwYPy8MMPGxKEhYXJRx99ZBhHAAIIIIAAAs4uQFKps19Bxo8AAgg4kMD69eulffv2snLlSsNRrV69Wu6+++4SK5kankgAAggggAACCCCAAAIIIIAAAggggAACCCCAgN0ErmkVJT5e+h8prt99Qn74+1CFjGnl1mT5ZeVRw7avbxdjGONOARMnTpSgoCDLlFUS1DfffCOzZ8+WatVIvnWnnwPmigACxgLFxcUyePBgOXnypGHwu+++KzEx/PfGEIoABBBAAAGnF/By+hkwAQQQQAABhxBQ2+UMHDhQsrKybB5PYWGh5Ofni68vqwrajEYgAggggAACCCCAAAIIIIAAAggggAACCCBgR4Egfy/p1i5a5i8/otvrR3N2Sp3oQGkZH64bV5bKhMQsGfXtFsNTWl8SLrW1vin/CtSpU0fefPNN+eGHH+SLL76QmjVr/lvpKO9OnTo7kqPJaVJYVHT2e94gYItA8oGd8vMHj9kSanNMUUGeYez+9Yvkm6duMowrS0CNS1tJ1/tfL8spxJokMGbMGPnrr78MW1O7MA4ZMsQwjgAEEEAAAQRcQYCkUle4iswBAQQQqGQB9cfW888/X6ZVR1X8qFGjpEqVKpU8erpHAAEEEHAUgczURBk/qJndh3No60oZ3d3cVToiazWQ+z7+2+5zoUMEEEAAAQQQQAABBBBAAAEEKkKgf5c68vOKI1L8bw5giW4Kik7JcxM3yBv3NpdWl1QtUV/WA3uPZsrTn6yTjOxCw1MHdqtrGOOOAQ8++KCol8Pehz/n84GklHRRL4qxwNFd6+TncfqJlM2v6y/tej1g3JiTR+TnZsrhbavsPouc9FQ5nG5uv96+/nafBx2KLF26VEaOHGlIUb16dfnss88M4whAAAEEEEDAVQRIKnWVK8k8EEAAgUoQyMvLk/vuu08mT55sc+9qVdJJkybJXXfdZfM5BCKAAAIIuIfAKbU6xTkrVNh11ib3e6qYlTXsev3oDAEEEEAAAQQQQAABBBBAoEIFakT6S+9OcTJr8UHdfnLyiuTpCevlgR7x0rdzXLmTGf9YmyjvzNgu2Vp7RqVjk0gtidW81VGN+nOmeodNJj2DaPL9mDPNuvrX/OxMSdqnv4JvRkqiqzMwPwQuWiA1NVXuvPNOKbJhlWSVUKoSSykIIIAAAgi4iwBJpe5ypZknAgggYLJAUlKS9O7dW5YtW2Zzy1FRUZatdjp06GDzOQSWX+DE0X2ibi6ZWXIz0wybSz6ww/R+q8bWF2+/AMO+CUAAAecWcPgPOpybl9EjgAACCCCAAAIIIIAAAgggcFECQ2+qJ/9bf0xS0vN12ynUViz96Idd8pcWO0xLLm1e3/aEzz1HMmTi/D2yYmuKbh9nKv18POSRWy898y1fL0Jg3bp18uSTT8qMGTOkWjVzd3SxNqw6La8SH/8ga9WW474Bwbr1VCJwRsDL00PaNat/5ltTvp67115sVFUJ8Pc1pd0zjRxLOSl7Dyad+ZavdhZQW9kfPKj/sIQa0tChQ6VXr152Hh3dIYAAAgggULkCJJVWrj+9I4AAAk4psGnTJunRo4ckJCTYPP4WLVrI3LlzpVatWjafQ+DFCfz20dOyb93/Lq6Rcpz9/asDynGW/imD3/1dajRorR9ELQIIOL2AZaXSc2bRvXMr8fA499btOZXlfOvr6205s2Z0VelZ1dx/V9RN4JUb95RzZJyGAAIIIIAAAggggAACCCCAgGMLBPp5yYsDm8oTH6+1aaORrfvT5ZHxa+XSmsHStU20tGkQLrWjAkUlfp0pxcWn5HByjqzdlSp/rTsm63cbP9R+5lz19bG+DSUmgi2jzzUpz/uPP/5YnnjiCVG7k/Xv319+++037Z7Mv9epPG3ack7LGwaJelHKL+Dr4y3tm9WzNLD7wDE5erxs/x8qf8+Od6an9m9L3diKS4gOCw4Q9TKzFBUVk1RqJmgZ2nr//fctn1sanVKvXj1RsRQEEEAAAQTcTYCkUne74swXAQQQuEiBefPmWW4qZWbavgKmenrv22+/laAg/SeOL3JonI4AAggg4OQCF65UGhjgK54V9AGGt5enqJeZJT0zx8zmaAsBBBBAAAEEEEAAAQQQQAABhxNQ28zfe3N9y2qitg5u56EMUS9VPLWHRyNCfMTP11PyC4olVVv1NL+w2Namzovr3rGG3NA+5rxjfFM2gfT0dLn33nvlu+++O3viwoULZeTIkTJq1Kizx3jjuAIqSTsuOsIywEQ3TihVAKdOiWTn6q+kXJ4rGeDnYzmtoLBI1MvMkl9QaGZztGWjwJIlS+Tpp582jPb29pbp06dLcDArJhtiEYAAAggg4HICJJW63CVlQggggEDFCYwdO1aeffZZKS62/SbfM888I6NHj7bLU80VN3Pnb1klZZm92t+5iV7e3l7aDRvtjo2JxeybMyYOjaYQQKCCBC78d+RQYqpcmGh6sV3HVg8XtWpBVk6epKTZ/oCELf2eOGlue7b0SQwCCCCAAAIIIIAAAggggAAC9ha4q2sdSU7Lkzl/Hypz10XayqRJ2rkXWy5vGimP39bwYptx6/PXrl0r/fr1kz17Su668sYbb0jHjh3l5ptvdmsjJu9cAipB84c/Vps+6P43X25pc+f+o7JhxwHT26dB+wocOXLE8m9fYaFxQu+YMWOkXbt29h0gvSGAAAIIIOAgAiSVOsiFYBgIIICAIwvk5+fLsGHD5Msvv7R5mD4+PvLZZ5/J4MGDbT6HwIoTaNOkjsTXiq6wDvp2a29627MW/CN5+QWmt0uDCCDguAIXJpAuXbfT9MH27tJW/D19JCklXZZv2GV6+zSIAAIIIIAAAggggAACCCCAgDsIPNLnUqmi7Y4+e3HZE0sv1qdT82oyYlBTy6qnF9uWu57/4YcfylNPPWXZ7r40A/Xg78CBA2XNmjVSt27d0kI4hgACCDidgPq8s2/fvpKYmGg4dpVU//jjjxvGEYAAAggggICrCmh/7lEQQAABBBCwLpCcnCxdu3YtU0JptWrV5M8//ySh1DorNQgggAACpQhcuFJpKSEcQgABBBBAAAEEEEAAAQQQQAABBxBQD4Y+cmsDebBXvF2TO/t2jpNX7m4mPl58xFneHwN1/0VtcZ+Xp79i7IkTJ6RXr16SmcnOLOW15jwEEHAsgccee0yWL19uOKjY2Fj5+uuvTd9Fy7BjAhBAAAEEEHAgAVYqdaCLwVAQQAABRxM4fPiwdOrUSfbt22fz0Jo2bSrz5s2TOnXq2HwOgRUvcFDbQjozW/8mYVlHEVMtTKIiQi2nbdiRINq9SFNLYWGRqe3RGAIIOL6Ap5ePRMe3MHWgp4qL5djeTbptevsFSkTNeN2YslaGRtUq6ynEI4AAAggggAACCCCAAAIIIOB0ArdfU1sa1Q6V1ydvkWMncits/CEBXvL0HY2kU/PqFdaHuzSsEoJVslSbNm1kz549utPetGmTZcXS2bNnk1ylK0VlZQnEXNJKnvnxqKndpyXul88e6KjbZsNOvaTnUxN0Y8paeeEuTmU9n3h9AfWZ55QpU/SDtFpPT0+ZOnWqREREGMYSgAACCCCAgCsLkFTqyleXuSGAAAIXKRAdHS0NGza0OalUbQUxbdo0CQ4OvsieOd1sgaPH00S9zCzeXp5nk0q37j4sJueUmjlU2kIAAScRCAiNkCHj/jB1tIUFefL2LbG6bUbVayoD3/5JN4bKihdIS8+WnftPfwhQWFRc8R3SAwIIIIAAAggggAACCCCAgCkCzeuFydfPdZBvftsn3/3vgBQUmXenUMt/lJsuqyH394iX0EBvU8ZLIyKhoaEya9Ys6dixo+Tk5OiS/PDDDzJixAgZNWqUbhyVCFSGgErE9PQy998GD0/j9qpU8TC938rwc6c+1eqjK1eutKzAvHPnTqtTf+utt+Sqq66yWk8FAggggAAC7iLA3hDucqWZJwIIIFAOAfU03vTp06VJkyaGZz/xxBMyd+5cEkoNpQhAAAEEEEAAgdIEjqWclNVb9llerFZdmhDHEEAAAQQQQAABBBBAAAHHFfDz8bQkfk4beYXcdnWcBPp5XtRgfbw95MbLYmTy8x0tK5SSUHpRnKWe3KJFC/n4449Lrbvw4Ouvv275rODC43yPAAIIOJOAWkhHJZbecMMNpQ779ttvF/V5JwUBBBBAAAEERFiplJ8CBBBAAAFdgZCQEMt29u3bt5fk5OQSsd7e3vLJJ5/IPffcU6KOA5UrUL/ddWL29sv71y8WtfWLXmnU6RbxDQzRCylzXUBYZJnP4QQEEEAAAQQQQAABBBBAAAEEEEAAAQQQsK9AZKiv/OeWS+Xem+vLss3J8vem47Ju9wlJTc83HEiwtsV9y/hw6dg4Ujq3rK4lpvIxpiHaRQbcfffdsmzZMpk4caJhS0OHDpX69etLu3btDGMJQAABBBxVICwsTObPny/Dhw+XsWPHnh1m06ZNZdKkSWe/5w0CCCCAAALuLsBfY+7+E8D8EUAAARsE6tatK7Nnz5auXbtKfv6/N/8iIiIsW+R07tzZhlYIsbdAu14PmN7lj2/db5hU2nnwCxIeU9f0vmkQAQQQQMD1BCLjGoh6CEKv+AWF6lVThwACCCCAAAIIIIAAAggg4IACvt6eck2rKMtLDe/YiVw5mJQlR1NyJSu3UPLyi8RHiwnQVjSNCveTuOoBElPVXzw8tP3uKXYVGD9+vGzatElWrFih229OTo706NFDli9fLuozAwoCCCDgrAJqp8a3335b1IrN9913n/j6+sqcOXMkMDDQWafEuBFAAAEEEDBdgKRS00lpEAEEEHBNgU6dOsmECRNEPY2sSqNGjSwrmKonkykIIIAAAggggEB5BFrddLeoFwUBBBBAAAEEEEAAAQQQQMC1BVTiqHpRHE/gTDKVWoH00KFDugM8duyY3HjjjZbVTatWraobSyUCCCDg6AIDBgyQBg0aSGpqqsTHxzv6cBkfAggggAACdhXwsGtvdIYAAggg4HACv//+uzz99NM2jWvIkCGW2Ouvv97yNDIJpTaxEYQAAggggAACCCCAAAIIIIAAAggggAACCCCAgMMKREdHy48//ij+/v6GY9yxY4f06tVLcnNzDWMJQAABBCpDYP/+/TZ3qxLq1eeeFAQQQAABBBA4X4Ck0vM9+A4BBBBwK4GPPvpIbrrpJhk7dqx88MEHNs19zJgx8tNPP0loKFvR2gRGEAIIIIAAAggggAACCCCAAAIIIIAAAggggAACDi7QunVr+eqrr2wa5d9//y2DBg2SU6dO2RRPEAIIIGAvgYkTJ1pWH/3222/t1SX9IIDA/7F3H/BVVGkfx//pBUggIfTeRKQqIKggCCiggCIoKiKsqIvgimvdVRTUdV2VRcWCoiiiCCgIKCAozYI0KdJ77yUEQnrCe8/sC1KSmUly03/z+Yz33jnPad8bE5L7zDkIIIBAoRQgqbRQvq1MCgEEELAXSElJ0cMPP6xBgwYpNTXVCv773/+u2bNn21f0lPr6+srPz88xjgAEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBAoOAJ33HGHhgwZ4mrAX331lR599FFXsQQhgAACuSEwZcoUDRgwQElJSVbiu1kohwMBBBBAAAEEsibgn7Vq1EIAAQQQKKgCJ06cUM+ePfXjjz9eMAWTXHrnnXda29pffvnlF5TxAgEEEPCGwFdD79bJo/u80dS5No7v337ueUZPPh50fUZFWb5+z3++VXCxsCzXpyICCCCAAAIIIIAAAggggAACCCCAAAL5UWDYsGHasmWLJkyY4Di8kSNHqmTJknrxxRcdYwlAAAEEclJg/vz5uvvuu88tpmNWUv7HP/6hPXv2yHyvMovmcCCAAAIIIICAewGSSt1bEYkAAggUeAHzh6BbbrlFmzdvTncuMTEx6tKli5YsWaLIyMh0Y7iIAAIIZFXg6J7NOnFwZ1arZ7ne4R3rslw3o4ppqSkZFXEdAQQQQAABBBBAAAEEEEAAAQQQQACBAivg4+OjsWPH6sCBA1q4cKHjPF566SWVKlVKjz32mGMsAQgggEBOCKxYsUK33nqrEhMTL2n+vffe0/79+zV+/HiFhIRcUs4FBBBAAAEEEEhfgNsx0nfhKgIIIFDoBObNm6err746w4TSsxPetm2bbr/9diUnJ5+9xCMCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggUEYHAwEBNnTpV9erVczXjxx9/XGPGjHEVSxACCCDgTYENGzaoY8eOOnnyZIacSUm7AABAAElEQVTNmu9n7du317FjxzKMoQABBBBAAAEELhRgpdILPXiFAAIIFEqBUaNG6ZFHHlFKiruV9czdx1999ZW1TUShBGFSCCCQ5wINaldWqbBiXh1HRMniVntBQQFqfVVdr7adkpaqRSu3eLVNGkMAAQQQQAABBBBAAAEEEEAAAQQQQCC/Cpht7WfOnKmWLVtaq5bajdNsM/3ggw+qYcOGatq0qV0oZQgggIDXBMzOjDfccIOOHDni2ObixYu1aNEia8dGx2ACEEAAAQQQQEAklfJFgAACCBRigdTUVP3973/X22+/7XqWfn5+evPNN0kodS1GIAIIZEUgKqKEypUumZWqjnX8Pd/HKpWLcIzLTEBySmpmwolFAAEEEEAAAQQQQAABBBBAAAEEEECgwAtUrVpVM2bMUOvWrRUbG2s7n0GDBpFQaitEIQIIeFNg+/btVkLpwYMHXTX7zjvvkFDqSoogBBBAAAEE/idAUilfCQgggEAhFYiJidGdd96p2bNnu55heHi4Jk2apBtvvNF1HQIRQACBrAjEJSTpZGx8VqpmWCckOFAB/n5KSzuj2LiEDOOyUpCampaVatRBAAEEEEAAAQQQQAABBBBAAAEEEECgQAs0adJE06dPV+fOnZWQkP7f3J5++mm9+uqrBXqeDB4BBAqOwK5du9S2bVvt27fP1aCHDRumAQMGuIolCAEEEEAAAQT+J0BSKV8JCCCAQCEU2LZtm3W33YYNG1zPrlatWvr2229Vt653t4x2PQACEUCgSAksXr3V6/O9tkkdVa1QWvEJifpu4Uqvt0+DCCCAAAIIIIAAAggggAACCCCAAAIIFEUBk7w1ceJE3X777UpJSbmAYOjQoXrhhRcuuMYLBBBAIKcEdu/ebSWUmkc3h1lF+fnnn3cTSgwCCCCAAAIInCdAUul5GDxFAAEECoPAwoULrT/sHDt2zPV02rRpo8mTJysiwrvbRbseAIEIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCQbwW6du2qTz75RH369NGZM2escf7nP//RU089lW/HnB8Gtn/zCi2f9qFXh3L6xGHH9rYuna3YYwcc4zITUKXhtWp8072ZqUIsAl4VMIvqtGvXTmalUjdHr1699NZbb7kJJQYBBBBAAAEELhIgqfQiEF4igAACBVng448/trZvSE5Odj2NBx54QO+++64CAgJc1yEQAQQQyIqAr3+AzOnNIy3F+fudt/s04/fx8fHmNGgLAQQQQAABBBBAAAEEEEAAAQQQQACBfC/Qu3dvxcTE6JFHHtGbb76pv/3tb/l+zHk9wJOH92rdgq9zfRjH9myWOb15+AUGkVTqTVDaypTAxo0brYTS/fv3u6rXrVs3ffbZZ/L19XUVTxACCCCAAAIIXChAUumFHrxCAAEECqRAWlqannzySf33v/91PX4/Pz+98cYbGjx4sOs6BCKAAALZEXjog9+yUz3dup8+1kEHNttvdf/0NO/ekZ/uQLiIAAIIIIAAAggggAACCCCAAAIIIIBAERAYOHCgrrvuOjVq1MjVbE0S6oIFC2QSvIrkwc3pRfJtZ9LeFVizZo3at2+vw4edV+k1PXfu3FmTJk1iQR3vvg20hgACCCBQxARIKi1ibzjTRQCBwidw6tQp3XXXXZoxY4bryYWFhWnChAnq1KmT6zoEIoAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAJuE0pPnz5tJXf99ttv1qIYRXKRizNnzn3BhAQFqHbV8udee+NJYIDfuWYqlo1QSHDQudfeeHLw6AkdPn7SG03RBgJZEli+fLluuukmHT9+3FX9Dh06aMqUKQoMDHQVTxACCCCAAAIIpC9AUmn6LlxFAAEECoTAzp071aVLF61du9b1eKtXr67vvvtO9erVc12HQAQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDArUBCQoK1OumiRYusKo899piOHTuml156yW0ThSPuvJVKQ4IDVb92pRybV4UypWRObx6pnp3ySCr1pihtZUbgxx9/VPfu3WUW2HFztG3bVtOmTVNQkHeTq930TQwCCCCAAAKFTYCk0sL2jjIfBBAoMgK//PKL9YvUkSNHXM+5VatW1t15pUuXdl2HQAQQQAABBAqTwKm4BCWnpCo+MakwTYu5IIAAAggggAACCCCAAAIIIIAAAvlGIDk5WT179tTcuXMvGNPLL79sJZa+88478vX1vaCMFwjkV4Gv5yyxhpaa+ueqs/l1rIVpXGbHxfvuu09JSe7+jnv99dfr22+/VUhISGFiYC4IIIAAAgjkmQBJpXlGT8cIIIBA9gQ+//xzZSahtF+/fho1ahTbPWSPndoIIIAAAgVc4Mff3K/uXcCnyvARQAABBBBAAAEEEEAAAQQQQACBXBdITU1V7969rR3T0uv8/ffft7axHjt2bNFYTfDMn4mIx2NO68uZv6XHkuVrxUOD1KXNlVb95Wu3a8vuQ1luK72KZ84bf3rlReFaUnJqUZhmvprj22+/rcGDB8vt15/Z8n7q1KkKDQ3NV/NgMAgggAACCBRkAW4BK8jvHmNHAIEiLTBy5Ei1bt3a0cDc7fv6669rzJgxJJQ6ahGAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACWREwCWD9+/fXpEmTbKtPnDhRJgns+PHjtnGFsdAYefNMS/szadWb7Z5tqzC+B8wpfws8++yzevTRR10nlN5yyy3WCqUklObv95XRIYAAAggUPAFWKi147xkjRgABBCyBgIAAayv75s2ba/v27emqFC9eXOPHj1eXLl3SLeciAtkRiD55Wjv3HbGa+PPPVtlpkboIIICA9wV85CM//0Dbhp3KbStTiAACCCCAAAIIIIAAAggggAACCCBgCSxcuFBmBVI3x88//6xrrrlGM2fOVI0aNdxUKZgxPj4Fc9xFeNRhpSuo39vzbAWCi5e0Lacw6wJRUVGuK/fo0cP6HNR8ZsqBAAIIIIAAAt4VIKnUu560hgACCOSqQGRkpHX3XcuWLXXy5MkL+q5atapV1qBBgwuu8wIBbwnsPnBM5uRAAAEE8rOAX0Cgnpq2Pz8PkbEhgAACCCCAAAIIIIAAAggggAAChUKgTZs2+vTTT3X//fcrJSXFcU6bNm1SixYtNH36dOvRsUIBDKhxZVs99OESr45838bl+u6/A23bbHTTvWpx+yDbmMwWBoWWyGyVAhlv/p5YrmbDAjn2wjBos+39zp079dZbb9lOp3fv3tb3Gz8/P9s4ChFAAAEEEEAgawIklWbNjVoIIIBAvhGoV6+ezFYxZnuH1NRUa1zm7t5vvvlGZcqUyTfjZCAIIIAAAggggAACCCCAAAIIIIAAAggggAACCCBQuAX69OmjUqVK6Y477lBCQoLjZI8cOaIbbrhBn332mcyqg4XtCAwproiKxb06rVNHnW+gNitpRlSs6dV+aQyB3BL473//qz179lg7NqbX56OPPqoRI0bIh5WA0+PhGgIIIIAAAl4R8PVKKzSCAAIIIJAjAnPnzlVaWppj2x07dtTw4cOtuHvvvVfz5s0jodRRjYCsCJg/QlW8vJnt6R8QnJWmqYMAAggggAACCCCAAAIIIIAAAggggAACCCBQCAS6dOmi2bNnKywszNVs4uPjrSTU559/XmfOnHFVhyAEECi8Ar6+vvriiy9kdmq8+Pj3v/+tN998k4TSi2F4jQACCCCAgJcFWKnUy6A0hwACCHhDwPzRZMiQIfrXv/6lJ598Uq+99ppjs+auvDp16qhTp06OsQQgkFWBVvc8LXNyIIAAAggggAACCCCAAAIIIIAAAggggAACCCCQkUDr1q21YMEC6zOLQ4cOZRR27rr5XOSll17SmjVrNG7cOBUv7t3VPc91xBMEECgQAsHBwZo+fbrM7oxbtmyRv7+/Ro8erb59+xaI8TNIBBBAAAEECroAK5UW9HeQ8SOAQKETiIuLs7Z4MQml5nj99df16aefWs+d/kNCqZMQ5QgggAACCCCAAAIIIIAAAggggAACCCCAAAIIIJAbAk2aNNFvv/2munXruu5u6tSpatGihbZv3+66DoEIIFBwBMzKxAMHDtTWrVsdB126dGnNmjVLVatWlfneQEKpIxkBCCCAAAIIeE2ApFKvUdIQAgggkH2BvXv36rrrrtOUKVMuaOyhhx7SL7/8csE1XiCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC+VmgevXqWrRoka6//nrXw1y3bp2aNWum2bNnu65DIAII5H8BkyxuVh597733dOuttyo2NtZx0DVr1tTmzZt18803O8YSIKWkpikuIUWpaWfgQAABBBBAIFsC/tmqTWUEEEAAAa8JLFu2TN26ddOBAwcuaTMpKUm33Xabli5dKvMHGA4EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDIPwJm+/bDJxK15/BpHYtJUnxSqpXcExLkpxIhAaoYFaJKpUMVFOiXfwadSyMpVaqU5syZo/vvv1+ff/65q16PHz+uzp0767nnntMLL7wgX1/WSnIFRxAC+VRgxowZuvfeexUdHW2N0CSP9+nTR5MnT5aPj4/tqAMDA23Li2Jhckqa1u6I0cotx7V57ynPz544HY5OUHLqn8mkwYG+Kh8ZoipliqletTBdWTtCtSoWd/Quip7MGQEEEEDgUgGSSi814QoCCCCQ6wITJ05Uv379ZLZ8yOg4evSounTpYt3RGxYWllEY1xFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCAXBGJOJ2vBqkNatvG4Vm2NVmx8im2vvp68qTqVTWJPKbVpXMZ6bluhEBWapLBx48ZZC2e89NJLrmaWlpamF1980fpcZPz48YqKinJVjyAEEMg/Aub/42HDhsn8f2+S788/vvnmG+v6888/f/5lntsIbN5zUt/+tl/zVx5y/JmTkJSmHQdOW+fC1YetVsuWCtaNzcqpS8uKKuN5zoEAAggggEBGAiSVZiTDdQQQQCAXBMwvT+YXKXO6Ocxde3fffbe+++47N+HEIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAgJcFTFLP+Lm79PMfRzK1xbDZjXjj7pPWaepXK1dMd7SpYiX4+PsVjZU4TZJo3bp11b9/f9uFNs5/y3788Uc1adJEZoGOa6+99vwiniOAQD4WMLsz9u7dW/PmzctwlEOHDlXjxo3VtWvXDGMo+N/PjjEzt2mp5yaG7ByHPKuZjpuzU+N/3KWbmpVX307VVaYkyaXZMaUuAgggUFgFisZvJ4X13WNeCCBQoAXMqqS9evVynVBqJhsSEqK+ffsW6HkzeAQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEECqLAgWPxevaj1Xpw+DLPCqWHM5VQmt58dx48rdcmbNDdLy2yVjxNL6YwXjOLZ/z888+qVKmS6+nt27dP//3vf13HE4gAAnkrMGvWLDVq1Mg2odSM0CzAc++992rjxo15O+B82ntcQopGfLVRA0Ysy3ZC6flTTPXc5TBzyX7d98piTZy/S2nmrgcOBBBAAAEEzhMgqfQ8DJ4igAACuSWwf/9+tW7dWpMmTXLdZYUKFaw/svTo0cN1HQIRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAg+wJfL9yt+15drF/XHs1+Yxe1cPhEooZ+ulZPfbBK0aeSLiotnC+vuuoqLV++XNdcc42rCVauXFmjR492FUsQAgjknUBSUpIef/xx3XzzzTpy5IirgZw8eVL333+/q9iiFLRl7yk98MZSTft1nyf5NmdmHp+UqvenbdUT76/U8VOJOdMJrSKAAAIIFEgBkkoL5NvGoBFAoCALrFixQs2bN7f+WOJ2Hk2bNtWyZctk/sjCgQACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAArkjEJeYYq1O+s43W5SUnJajnS7dcEz3v75Ea7afyNF+8kvjZcuW1fz589W/f3/bIfn7++vLL79URESEbRyFCCCQtwKbN2/Wtddea60qbFYgdXs0a9bM+n/cbXxRiFu09ogGvrVc+47G58p0V2yJ1kOeVbh3eVbQ5kAAAQQQQMAIkFTK1wECCCCQiwKTJ09Wq1atZLZpcXv07NlTP/30k8xKpRwIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCQOwInYpM0eOSKHFmdNKMZHD/pWeXvvZX6ZY27Ff4yaqegXA8MDLRWIP3www8VHByc7rCHDRtmJaqlW8hFBBDIcwGTQDpy5Eg1btw4U4vqmIE/+OCD1k6NVapUyfN55JcB/Pj7QT338R85fiPDxfM94lk1+5G3l8uskMqBAAIIIIAASaV8DSCAAAK5JPDyyy/LJIjGxcW57nHIkCGaOHGiQkJCXNchEAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBLIncCouWY+9s0Kb8yC5JiklTc+P+UO/FpHEUvNOPfDAA1q0aJFq1qx5wRvXoUMHPfPMMxdcS+9FcnJyepe5hgACOSywZ88emf9P//a3vyk+3v2qmiaJfMyYMfrggw8UFBSUw6MsOM0v8axY/e8v1ivN/UKvXp3cybgUPf3BKu3PpRVSvTp4GkMAAQQQ8KqAv1dbozEEEEAAgUsEEhISdP/992v8+PGXlGV0wfwi9cknn6hXr14ZhXAdAQQQQOAigUUrN2vRqi2eq3n015aLxsNLBBBAAAEEEEAAAQQQQAABBBBAAIGCKZDsSer8x+jV2pHFbYD9fH1UPMRf/n4+Op2QooSktExDmISiYZ+t1YiHr9QV1cMzXb8gVmjSpIl+//139e3bV1OnTlXZsmU1btw4+frar5OUkpJirWTasmVLvfLKKypWrFhBnD5jRqDACYwdO1aPPvqoYmJiMjV2kzz+1Vdfyfw/z/GnwN4jcRr66RqlZjKjtGrZYmpSu5Sqly+myLAgBfr7en7upOpgdIK27julFZujdTQm8c+OHJ4dP5Wkf360WqP+3kzBgX4O0RRfLGBW7o33+KemnlFIkJ/n3wL2P8Murs9rBBBAIL8IkFSaX94JxoEAAoVS4NChQ+rWrZuWLFnien7lypXTtGnT1Lx5c9d1CEQAAQQQ+P9UUs8v6xwIIIAAAggggAACCCCAAAIIIIAAAghkR+D9aVu0dof7JClPDqmaXhahVg3LqGHNkqpYOuSCJJJoT4LOxt0ntdSzAt28lYcUc9rdqppJyWlWgtFHT12t8GIB2ZlSgakbHh6ub775RsOHD1ejRo2sxFKnwZtE0mXLllnnt99+q48++kg33HCDUzXKEUAgiwK7d+/WgAEDNHPmzEy3cNddd2nUqFEKCwvLdN3CXMHczGASSuMTU11N09y00OnqCrqtVSXVKF/cto5Jcly1NVqT5u/Wb+uP2caeLdzpuani7cmb9dRdl5+9xGM6AmZVc2O70nNu2xerPYfjZJJyzz+CAnw9/y4IVdVyoWpQo6Su9CQAVytn/56dX5/nCCCAQF4JkFSaV/L0iwAChV5g9erV6tKli8y2D24Pc0fe9OnTValSJbdViEMAAQQQQMASmPj8HUpJyvhu4/AylXTL399FCwEEEEAAAQQQQAABBBBAAAEEEEDARmDJ+qOa8vNem4gLizo2L68+N1ZXBU8iaUZHqRKBanlFaesccGttzVy8X59+v10nYp2TS494Vpd7fcIGvXx/w4yaL5TXH3/8cVfzWrlypV5++eVzsTt27FC7du30wAMP6I033iBx7ZwMTxDIvkBaWpreffdd/fOf/1RsbGymGjQrCI8cOVL9+vXLVL2iEjzRk/C51ZOU6OZoXKuUnrizripFhboJl4+Pj2cl0wjrXLklWm9M3KB9Lra3n7lkvzo0LWvVc9VREQkySbqLPcm5xue3dUeV4lmR1O5I9Nwgsv1ArHXOX3nYCjWry97UrJxublmxyNw0YmdEGQII5E8Bkkrz5/vCqBBAoIALmG1ZevfurdOnT7ueyW233WZt48K2LK7JCEQAAQTU/Z+fehIpE5DwCOxZu1jJiXEZWkRWrpNhGQUIIIAAAggggAACCCCAAAIIIIAAAlJicqrenLzJFUVUeJCG9LnCszJpKVfxZ4PMtsS3XldJ7a4sq+GTNmrBqv8lmJwtT+/xlzVHrMQVk5jK8adAUlKS7rvvPiUnX5qcO3r0aGsVxbfeeku33377n5V4hgACWRJYt26d+vfvr8WLF2e6vll1eMKECapbt26m6xaFCkdOJGjcnB2upnpP+2q6v3MN+ZolsrNwNPGskjn6ieZ6adw66+eKUxNvfr1Znzx9dZb7c2q/oJX//MdhfTJrh5Ugmp2x7zp0Wh9+t83zvu9U12srqneHaioRWjRWJM+OG3URQCB3BXxztzt6QwABBAq/wC+//KLu3btnKqH0H//4hyZPniwSSgv/1wczRAAB7wqERVVURMWatqd3e6Q1BBBAAAEEEEAAAQQQQAABBBBAAIHCKjDlpz06cMz5BubalUroQ09STmYTSs93M8kjQ/s2UN+O1c+/nOHzd6duVlqa/WpoGVYupAUvvPCC1qxZk+Hs9u3bpx49eqhz587avn17hnEUIICAvUBCQoLatGmT6YRSs0Lm4MGDtWTJEhJKbYi/nLfLc1NDmk3E/4oGdKulB26pme0Ez9Bgf2v167ZNyjj2aZIf56865BhX2AMOHo/XUx+s0pAxa7KdUHq+VXxSqswqtfe+8pt+WH7w/CKeI4AAAnkuQFJpnr8FDAABBAqbwLXXXmv9kcLNvIKCgqzVSV955RVr6wE3dYhBAAEEEEDASaBhnSpq0bCWLqte3imUcgQQQAABBBBAAAEEEEAAAQQQQAABj0CiJ7Fj0vw9jhbVyhXTfx9uIrOlvTeOvh1rqM9Nzomle4/Eu1rV1BtjKghtmCS1119/3dVQZ82apSuuuEIvvfSSEhMTXdUhCAEE/hQIDg6WSeLOzFG1alXNmzdPI0aMkPk8lCN9gZOnk/Xdb/vTLzzvavdWlXRn26rnXcneUz/PSqf/vOcKXVEt3LGhL+fucowpzAFmddL+ry/V0g3HcmyaJ2KT9a/P1+kVzxmfmJpj/dAwAgggkBkBkkozo0UsAggg4ELA3HU3duxYNW3a1Da6TJkymj9/vnr37m0bRyECCCCAAAKZFahULkI1KpdRudIlM1uVeAQQQAABBBBAAAEEEEAAAQQQQKBICsxbeUjRsUm2cw8N8rNWd/P2FrV/6VRD1zWIsu3bFH79027HmKIS8NBDDyk11X3ijVlp8fnnn1fDhg01c+bMosLEPBHwmsDDDz/s+Nnn2c769eunP/74w1rd9Ow1HtMXMD97khxWKa1evpgGdKudfgPZuBrg76vn76uvkEA/21a27ovVlr2nbGMKa+H4H3daq5PGxqfkyhTneFYr/dvI3xV9yv7fI7kyGDpBAIEiL0BSaZH/EgAAAQRyQiAkJETTpk1TxYoV023e/NFi2bJlatmyZbrlXEQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIHcE5i9zHnb2Qe71FKlqNAcGdQTd9ZV8RB/27bX7zypvUfibGOKSuGkSZN03XXXZXq6mzdv1s0336yOHTtq/fr1ma6f3yrEJyRp1s+rrXP3gZxbRS+/zZvx5L6Ar6+vRo0aJT+/jBMQy5Ytq+nTp2vMmDEKCwvL/UEWwB5//N35Z8/g2y+TSQDNiaNsqWDde2M1x6bdjNOxkQIW8OG3W/Xhd9tyfdQmgXfQW8t1LIaVtXMdnw4RQOACgZz5yXNBF7xAAAEEiqZAhQoVrMTS0NAL/8DUtWtX/frrr6pSpUrRhGHWCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgjkI4EYz/bDq7ZG246oSplQdb0m/YUkbCu6LCxZPFC9O1RzjDbb8HJIderU0U8//aS3335bxYoVyzTJ7Nmz1ahRIw0aNEjHjhXcZMy0M2cUffK0dSYm585KepnGpkK+FzCr/o4fP95x9d+rrrpKAwcOTHc+ffv2tRK1u3Tpkm45Fy8ViEtI0YZdJy8tOO9Ko5ol1ahWqfOueP/pba0qq0So/U0Nyzcd937H+bjFCfN2afzcXXk2wn1H4/XEqJU6FZecZ2OgYwQQQICkUr4GEEAAgSwKpKQ4/3JufrkaO3asfHx8rF6efPJJffPNNypevHgWe6UaAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIeFPAKaHU9NWzTRX5+v7vb/3e7Pv8trpeW9FxG+IVW+yTX89vr7A/N5+9PPLII1q7dq3atWuX6emaz3neffdd1a5dW8OHD1dCQkKm26ACAgVdYOrUqapfv77uueceffzxx47Tefnll2UW1jl71KhRQz/88IM++eQTRUREnL3MowuBNdtPKDXtjG1klxy8meFsxyFBfmp/ZbmzL9N93LY/Vic9N2AUhWPJ+qMaNX1rpqZq/nlQv3q47mlfVf+4p57+81BjDX+4iV76SwMN6FZLNzQpq/BiAZlqc8eB0/rX5+t0xnPzAAcCCCCQFwL2txvkxYjoEwEEEMjnAklJSRowYID1x4UvvvjCcbQ9evTQK6+8onLlysncpceBAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC+Udg7Y4TtoPx9/PRDVeWtY3xRmFokL9aNYzSnOUZb4e8dkeMN7oqVG1Uq1ZNP/74o5XU9tRTT+no0aOZml90dLSeeOIJvfnmmxo6dKj1WY7dFt+ZajwHgqOq1VP3Z8fathxRsaZtOYUImF0Vzf8vixYtOocxZMgQ3XXXXSpRosS5axc/MWVvvfWWevXqpccee0zDhg3Txbs2XlyH1+kLbPckDdodJlGxRb3SdiFeK7u2QZS++WWvbXs7D51WwxolbWMKeqHZcv6VL9a7noZZ4bVH68q6pWVFRYYH2dZLSU3TkvXHrBVQ1+1097N8sSf+qwV7dEdbdkC1xaUQAQRyRICk0hxhpVEEECisAmYLlO7du1tbqpg5Xn755Xruueccp/vMM884xhCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACuS+w+1Ccbaf1qoWrWHDufKzatG6EbVJpfGKqjpxIUFTJYNsxF8XCfv36qWvXrjKfyZgVFzO7utvevXvVv39/vf766zKrMd5+++3ndqLLT56h4ZG67Jqb89OQGEsBEli9erVeeOEFTZs27ZJRHz582Foo59///vclZedfMAvqrF+/XnXq1Dn/Ms8zKbDnsP3Pnurli6t4SO787DGrbDodew4X/qTSkd9sVozLFVk7XV1eA7rWVpjLFUj9/XxlknfNOX/lIb359SZXfX00c5t1w0n5yBCnt4hyBBBAwKsCvl5tjcYQQACBQixgfjlq3rz5uYRSM9Xnn39ekydPLsSzZmoIIIAAAggggAACCCCAAAIIIIAAAggggAACCBRugf3H4m0neFmljFfts62YhcLLKoU51tp/1H68jg0U4oDIyEiNHj1aZhXGRo0aZWmmmzZtUs+ePeWUWJelxqmEQB4JrFmzxkqUbtKkSboJpWeHZVbs3bVr19mXGT6SUJohjeuC6Ngk29jKZUJty71ZGBzopzIl7VfajD6V7M0u811bK7cc14JVhx3HZVYvf7b3FXr6rnquE0ovbrRtk7L6+KmrVcfFvy+SktP07tQtFzfBawQQQCDHBUgqzXFiOkAAgcIg8P3336tly5bavn37BdMxd7n26dNHK1asuOA6LxBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKBgCMTGpdgOtFxE7q0OVi7SeQXS0wn247WdTBEpNJ/p/P777xoxYoTCw51X4LuYJTg4WPfdd9/Fl3mNQIETWLt2rZUkbZKsp0yZ4riCb0JCgrXab4GbaAEccHyi/ffycJcrYHpr6k4rbjqN11vjyKt2Pv1+h2PXfr4++lf/RurQtJxjrFNA6fAgvfnIlapX1flmkl/WHNHWfaecmqQcAQQQ8KoASaVe5aQxBBAojAJvv/22brnlFp08eTLd6cXFxVnbqRw4cCDdci4igAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBA/hWIT7JP7AkJ9su1wQcF+MkkrdgdcYmpdsWU/b+An5+fBg8erC1btuivf/2rzGu3x0MPPaSKFSu6DScOgXwnsGTJEnXv3l0NGzbU119/7ZhMev4EJkyYoMWLF59/iec5IJB2xr5RXx/7nwX2tTNf6tSf03gz32P+qbF+Z4xWbzvhOKDH76yrqy+PdIxzGxAa5K9/P9hYZUs531Dy5VznFYTd9kscAggg4EaApFI3SsQggECRFEhJSZH5o8Gjjz6q1FT7P9Ds27dP3bp1U3w8W84UyS8WJo0AAggggAACCCCAAAIIIIAAAggggAACCCBQYAUC/O0/Mk1JScu1uaV5snZSHTJ3nMaba4MtIB1FRUXp/fff16pVq9S+fXvHUYeEhLhaqTExMdGxLQIQyG0Bs/ti27Zt1aJFC33zzTeZSiY9f6zDhw8//yXPc0AgNMg+0T023v6GB28Pyam/kED78Xp7PLnZ3qylzotHtW1SRp2vruD1YZkVaZ+99wrHdn/+44hYqdyRiQAEEPCigP1vSF7siKYQQACBgiRw/Phx3Xjjjfrwww9dD3vbtm3W3a6uKxCIAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACeS5gVgqzO6JPJdkVe7XMTV9OiUheHVAhaqx+/fr64YcfNH36dF122WUZzmzgwIEqV85+a+O5c+eqSpUqGjp0qA4dOpRhWxQgkBsCycnJ+uKLL2S2uO/UqZMWLFiQ5W4jIiL0xhtv6PPPP89yG1R0JxAWGmAbuO9onG25NwtTUtN0KDrBtskwT/JjYTzMjRzzV9p/Hw8K8NWgW+vk2PQb1iipG5vZ/9xJ8tzgYhJLORBAAIHcErD/DSm3RkE/CCCAQD4S2LRpk7Xd/datW12Pqm7duvruu+9Us2ZN13UIRKCwC5w6ekCr59j/0aF8nStVs2m7wk7B/BBAAAEEEEAAAQQQQAABBBBAAAEEEEAgHwtEhgfaJtPsPHQ610bvpq/S4UG5Np7C2FGXLl3UuXNnffLJJxo2bJj27t17bprFixfXU089de51Rk9ee+01HT582Kr/6quv6u6779bgwYOtrcYzqsN1BLwtYBKaP/jgA40aNUoHDjivtGjXf3BwsP72t7/pH//4h0qWLGkXSpmXBCpGhdq2tHVfrEwiYaDDatq2jbgs3LznlOMq2ZUcxuuyq3wXtmn3STmt0npzywqKzOGfvX1urK45yw7a+izbeEwdm5e3jaEQAQQQ8JYASaXekqQdBBAoFALmDtU77rhDJ06ccD0fs6LppEmTFB4e7roOgQgUBYFTxw7o5y/+YzvVq265n6RSWyEKEUAAAQQQQAABBBBAAAEEEEAAAQQQQCCnBaqUKab1O09m2M3qbe4/M8iwEZcFq7dG20b6+EhOiUi2DVBoCfj5+al///7q3bu33n33Xf373//WsWPH9MgjjygqKspWafXq1ZozZ865mMTERCtB1SSpmm3HBwwYoFtvvVUBAYVzVb9zE+dJngksXbpUI0eOtD6fTErK3krK5v+Fe++9Vy+++KIqV66cZ3Mqih1XK1fMdtomoXTl5uO6ul5p2zhvFC7ecMyxmapl7ZNgHRvIpwGrHH7ummHf0rJijo/eJO02rlVKduPJzX+P5PiE6QABBPK9gG++HyEDRAABBHJJ4L333rPuTM1MQumgQYM0c+ZMEkpz6T2iGwQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEvC1Qq2Jx2yaPn0zSmu25k1i6YPVh27FULVssV1atsx1EISo0qzM+/vjj2r59u7WV/RNPPOE4O7M1eEbH/PnzrcVLTHLeP//5T+3YsSOjUK4jkCWB48ePq1WrVtb29NlJKDXJpCapev369VZSNAmlWXo7slWpQQ3nBYtmLc3eCrRuBmi2f5+zzL6f8pHBiioZ7Ka5Ahez44D9auRm7jXK2/87wVuTvq6BfQLx0ZhEnYpL9lZ3tIMAAgjYCpBUastDIQIIFAWBlJQUDRw40DrNczeHv7+/TBKquQvQ/NLFgQAC9gK+vj6qXjHKOsOKh9gHU4oAAggggAACCCCAAAIIIIAAAggggAACCOSiwJW1Ixx7m/rLn1ukOwZnMWDllmjtPhRnW7uJZxUzDu8LhIWF6YUXXlBEhP3Xwp49ezRhwgTHAZhtyc3qp7Vq1VKnTp00ZcoUZScB0LFDAoqMgPka7dGjR5bn6+vrq7vvvlvr1q3TuHHjVKdOnSy3RcXsCUSUCFJ1h9VKf/LcaLDnsP3PheyNQpq74qAOHk+wbeaqOvbfG20r5/PCPUfsfRtUL5lrM6jvoq+c/nrItcnSEQII5HsBkkrz/VvEABFAICcFzKqknTt3thJE3fZTqlQpff/999b2JW7rEIdAURcI8CRit2xc2zorRPFHz6L+9cD8EUAAAQQQQAABBBBAAAEEEEAAAQQQyE8C1csXU+nwINshzV95SDsOxNrGZLdwzKztjk1cXS/SMYaAnBMYMWKE3C5QYkaRlpZmfaZ0++23q3z58tYCJ0uWLMm5AdJykRAYMGBApudpFsk5m0z6xRdf6LLLLst0G1TwvkDbJmVtG/UsIqqRUzbZxmSnMC4xRaO/3ebYhNM4HRvIxwEnYpNsR1e5TKhtuTcL3fTlNF5vjoe2EECgaAuQVFq0339mj0CRFtiyZYtatGihH374wbWDuVtv8eLFateunes6BCKAAAIIIIAAAggggAACCCCAAAIIIIAAAggggED+FfDx8VGHpuVsB2gSe4ZP2iizTXBOHDMX79ea7Sdsmy5ZPEBNLyu8q8XZTj4fFJqFSkaPHp3lkZhty80ueOazKZPQ969//Us7duzIcntULFwC5uvjo48+Uvv27fXNN9/YTu66665T/fr1bWPOFoaEhFjJzFu3bpVJJq1bt+7ZIh7zgcCNzcrJ8yPI9li68bhyarXsEZM26YhnS3W7I6pkkArzKtlxCfY7mZYIDbDj8WpZsWB/+Xl2f7Q74hJT7YopQwABBLwmQFKp1yhpCAEECpLA/PnzrV/aN21yf2eXSSQ1CaVsA1GQ3mnGigACCCCAAAIIIIAAAggggAACCCCAAAIIIICAs0Cn5uUdE3vW7ojRRzOcV3Rz7u3CiG37T+ltFyvRdfSM0d+Pj3cv1Mu9Vzt37lTlypW90uHmzZv13HPPqUaNGmrWrJlee+01Eky9IluwGomNjbUSPW+55RaVK1dODzzwgObOnauxY8c6TuSvf/2rbUxERISGDBmiXbt26Z133lG1atVs4ynMG4FyESG6vlEZx85HTtmsJRuOOcZlJuCz2Tv0w+8HHav0bFNFvg6Jjo6N5OMAp3tFcnvqTknGZ3Lm3pZ8/A4xNAQQyCsBfuvIK3n6RQCBPBP48MMPdeONN8rc8ef2ML+YmS3vS5Vi2263ZsQhgAACCCCAAAIIIIAAAggggAACCCCAAAIIIFBQBKqULabWDZ0Te76cu0uT5u/22rT2HI7Tk6NWKSEpzbbNQH9fmcQejrwTaNy4sdatW6dZs2bppptu8tpAli9frqefftpKMG3atKnM51gchVfg8OHD+vjjj9WlSxdFRUWpd+/emjFjhpKTk89NeubMmTp2zD6B8N5771WxYsXO1Tn7xCyO8/bbb2v37t168cUXrT7OlvGYPwXuvbGa400NZpXs5z5arYWrD2d7Emc8WYkfz9ymMbO2O7ZlVsjuek1Fx7iCHBAa5Gc7/Nh4+5VMbStnsjAxKVUpqfZZoyEO481kl4QjgAACGQqQVJohDQUIIFAYBQYPHqyHHnpIKSnu/vHn5+dn/eL1/vvvy9/fvzCSMCcEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDwCPTtWN1x21kD9d60LXpv6hZP4od9IqgT6sot0Rr01nIdP5nkFKpbr6ukyLAgxzgCclbAx7OEXMeOHa2FSEyCqVlZ0mwv7q3j999/14oVK7zVHO3kEwGzc+Lrr78us219+fLl1b9/f3333XdKSEhId4QmwXTixInplp29GBYWpnvuucd6ab4uO3XqZCU8b9y4UY888ki6Cadn6/KYvwRqViihW1o6J24me5INX/hkjd6dutlzI0LWtkA/6tnq/pkPV2vcnJ2uEP7atbaCA+2TLl01lI+DworZb2+/72h8ro3eTV9O4821wdIRAggUegEypAr9W8wEEUDgfAHzS5XbIzw83PqFzZt3m7rtmzgEEEAAgcIrkJaaoh8+eNbrE0xJTrRt83T0Ic1+72nbmMwWBoUWV5u+QzJbjXgEEEAAAQQQQAABBBBAAAEEEEAgXwpUL19c3VtX0lcL9jiOb9KC3Vq9LVp/v6OuLqsc5hh/fkBcQoo++X67Ji/cI6dtd029yLBAK+H1/DZ4nvcC9erVs1YVffXVV63tys0KoyahL7vHrbfeatuEWWUwM5932TZGYY4IxMTEaN68eZo9e7Z17ty5M9P9jBs3Tg8//LBtPVMeHBysQYMGqXbt2raxFOZvgQdvqalf1x5xdZOB+Rm1cNVh3Xtjdd3YrJyCApyTPk/EJmnKz3s9P992Kz7RXUJq41qldJOn/cJ+VIoK1dZ9sRlOc/3OmAzLvF2wzkVflaK8dyODt8dPewggULgESCotXO8ns0EAAQeBN954Q+ZuQLM1id1Rs2ZN6w7BunXr2oVRhgACCCCAQKYF0tJStWLGx5mul90KCbExXu83tGQUSaXZfWOojwACCCCAAAIIIIAAAggggAAC+UrgL51qasn6Y9rt2Zbe6di055QeGr5M19QvrW6e7YGvuixC/n4ZbxRptrr/fukBTft1rzKzne6TvS5XaDAf6zq9H3lVHhERoccee8w6Fy5cqFGjRmnKlClKSnJegfbiMZvVJ2+44YaLL1/w+s0339To0aPVtm1b62zTpo1Kly59QQwvclfArDi6ZMkSmff/hx9+0OLFi13vmpjRSE0bW7duVa1atTIKUaNGjfTWW29lWE5BwREoERqgIffW1+PvrXB1s8HhE4kaPmmjRk3fomvrR6lx7VKqXq6YIsODFOjvayWOHo5OsJIll286pqUbjyvVzV0M/08W7lm987l7rygSCezVPG52x46Dp3XweLzKReR8Mufi9UfthqISof6KKMGq5bZIFCKAgNcE+O3Da5Q0hAACBUHAbGc/YcIEtWzZUuvXr093yNdff70mT56syMjIdMu5iAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAoVTICTIT0P7NtBfRyxTUrK77e0XrT0qc4Z4tgiuVy1cVcuFKrxYoCfB1EdmVdL9x+K1cfdJHTiW/lbXdpJ3tauqFvVIGLQzyk9l5jMmcx45ckSfffaZtYLpmjVrXA/x5ptvVmBgoG38nDlztGHDBut87733rKSv+vXrWwmm11xzjfUZWJUqVWzboDB7AvHx8fr555/1008/WYmky5YtU2Ki/U5SWenx888/19ChQ7NSlToFUKCJJzF0QLfanu3tt7ge/emEVM1ZftA6XVdyCAzw/Owa1q+BSnsSVIvC0ahmScdpmhtC+nas4RiXnYDjpxK12HNTi93RqGYpu2LKEEAAAa8KkFTqVU4aQwCBgiBg7vL87rvv1Lx5cx09euHdPv3795f5BTwgIKAgTIUxIoAAAggUAoHaVcrKz995e5rMTDUo8H//zC8eGqS6NSpkpqpjbEJCknbuv/Dnp2MlAhBAAAEEEEAAAQQQQAABBBBAAIECJFCjQnErsXTIx39kamW3+KRU/b75uHV6Y7rXNyqjB26u6Y2maCOXBaKiovT4449b56pVq6wE0/Hjx+vQoUO2I7nttttsy83qpyaR8fzjzJkzMomr5nz77betogoVKljJpS1atLAezYqWxYsXP78az7MhsHnzZt10003ZaMFd1UmTJpFU6o6q0ET1bFNF0aeSNH7urjyZk5+vj4b0qa/GtYpO8qK5GSQwwNf2RpIpP+3RHZ73JidXDZ84b7fjvzmurFN03pc8+R+AThFA4AIBkkov4OAFAggUFYHq1atbW4+0b9/e2n7E19dXb7zxhrU1SVExYJ4IIIAAAvlDoH7tygoJtl99IKsjDS8eqisvr5bV6unWOxp9iqTSdGW4iAACCCCAAAIIIIAAAggggAAChUngmitK65m76+nV8esdkzxyYt4t6kXqWc/Ww76eBB+Ogi3QuHFjmfO1116TWWV03Lhx1uInsbGxF0wsKChInTp1uuDaxS9+/fVXxcXFXXz5ktf79++3duUzO/OZw3wOZrZRb9KkiTWWs49ly5a9pG5RvhATE6N169bp9OnT6tChQ4YUDRo0UIkSJXTq1KkMY7JaYHZdbNu2rXr16qXu3btntRnqFWCBB7vUUrBn5esxs7bn6ixMYuXQ++rrmvpRudpvXncWFOCn6zxznrcy46T/k3Ep+sTzfgy8rU6ODHf3odOa7ElctTvMPwfMzSYcCCCAQG4JkFSaW9L0gwACuSJgfnkbPny4nnvuOfn723+La9WqlUaNGqXBgwfryy+/VOfOnXNljHSCAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC+V+gQ9NyKhHqr6GfrlFCUlquDfimZuX0ZK/L5e/nm2t90lHOC5jPrcxnUeY026d///33MitRmt31TIKpSWJ0Wk3UJKVm5UhLS5NZXdOcEydOPNdERESELr/8ctWtW9c6zXOTAFuxYsVzMYXtibHYt2+ftm3bpq1bt2rDhg1WIunatWut62a+tWvXtqwymrtJ0jWrwP7www8ZhWTquo+Pj6699lorkbRnz54qU4bEsUwBFsLgPjdVV/nIEA2ftCFXfv6ULRXsWaG7vi6vGl4INZ2ndFPz8rZJpaaFrz1Jn1fXK62ml0U4N5iJiKSUNL08bp1SUs/Y1mpWN1KRYUG2MRQigAAC3hSwz7jyZk+0hQACCOSwwM6dO9WlSxeZX/rM9iHvv/++Y4/9+vXTzTffzC9njlIEIIAAAgjklMCMn1bJ8zdDrx4dWjZQWPEQHTx6Qr+u3OzVts12WhwIIIAAAggggAACCCCAAAIIIIBAURFo4Ukg+eDvza3E0h0HT+fotAP8fKxV0G69rlKO9kPjeS8QEhIis9W9ORMSEjRr1iyZBE+nw1tJjGf7OX78uMzqp+Y8ewwYMEDvvffe2ZeXPCYlJVlJseHh+TP5zCTsmqRRc+7du/fc4/bt261E0h07digxMfGSeZ1/wSScmtVKixUrdv7lC55fc8012UoqNSvT3nDDDerWrZu6du2q8uXLX9A+LxAwNzbUqVxC//GsmL1+18kcA2l3ZVkN7nGZ5yaKgBzrI7833LxuhKqXL6YdBzL+OW8+GjE3mbz9t6tUo3xxr0wpLe2MXvl8nTbvdV71uNcNVbzSJ40ggAACbgVIKnUrRRwCCORrAfPLrvnF+8iRI9Y4zQqk9erV0yOPPOI4bu72cyQiAAEEEEAgBwWSklO83nra/yd+pnr+IJGY5P32vT5gGkQAAQQQQAABBBBAAAEEEEAAAQTysUDVcsU06u/NNO6HnZowb5fjamJZmUrDmiX1mCepp7qXElWyMgbq5I1AcHCw9RmXU+9Hjx7VihUrnMKyXW5W6bQ7TGLrLbfcIpMUaT5jK1u2rPUYGRmpkiVLXnCaLeJNAm1oaOi5R1PPbPF+9jQruJqVOlNTU2VWETWPFSpUkHHJ6JgxY4bmzZunY8eOybiYR3OazwlPnDiRUTXX18041qxZY61GmlElk1Sa2aNUqVLq1KmTbr31VnXs2FHGhwMBO4GqZYvp3cFNNWPxfn36/Q4djbFPiLZr6+KyWhWL6+FutXVlHeeE9ovrFrbX5ntQnxura9jYtbZTi41P0WPvrNArDzTSFdWyl1ifmJSqlz0JpT//8b/8BruO61cPV5PavE92RpQhgID3BUgq9b4pLSKAQC4LfPbZZ3rwwQcvuavwscceU506dXTTTTfl8ojoDgEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBAqTQFCgn/rfXFMdPVvkfu5JLv1h+UGZG3qze5iknt4dqqlN47LZbYr6hVxg7ty5yo1dhGrVqmUreeDAAavcrPa5Z88e67StkIXC+fPnq02bNhnWNBYjRozIsNwbBatWrbJNKm3RooV8fX2tRNiM+jOJs82bN7c+qzSfVzZr1sxKps0onusIpCdgEh5vaVlRNzUrr++XHtB3v+3Tpj3OK1um15avZ9e0pp5t1Lu3qiSzEjfHnwJtm5TVN7/s1R/b7BPTY04n69GRv+uBW2qqx/VV5GdQM3ls8axMalYodbMCutnp7m/d62SyB8IRQACB7AuQVJp9Q1pAAIE8EjC/OP/zn//Uq6++mu4IzJ2Md955p3777Tddfvnl6cZwEQEEEEAAgdwW8PMP1H0j5ni92y+e7qqUpIQM2w0vW0W3PvNRhuVZKfD149eJrLhRBwEEEEAAAQQQQAABBBBAAAEECq5ApahQPXN3Pf2lcw3NWXZAczzJpbsPxWVqQsWC/dSqYRlPglA5Vh7LlFzRDjarWy5YsEAm4dKs0rlkyRKZrei9fTitVLp//35vd3lJe07zMiui5vSxevVq2y7CwsJ0xRVXWCuanh9oPpNs3bq1OnTooHbt2lkrt55fznMEsioQ4O+rLtdUtM5dh05r8fqjWrklWps9CabHT6X/vcAkJJYtFWytqtmkdim1vKK0IsOCsjqEQl/v7z0v04NvLFNSSprtXFNSz+j9aVutJN/7bqqu6xpEyd/P17aOKdxzOE5fzt3lqbdfbu9Lub11ZdWpHObYNgEIIICAtwX4FNjborSHAAK5InD69Gn17t1bU6dOte0vJiZGXbp0sX6xNttucCCAAAIIZF5g7bxJSoqPzbCif2CIGna4K8NyCi4UMHcVV6hz5YUXvfDKx8f+Dxb+gcE50q8Xhk4TCCCAAAIIIIAAAggggAACCCCAQIETKFMy2LPCaHXrPBydoJVbo7VtX6wnYeS0ldwTl5jq2cb7jEKC/FQi1F8VS4eqStlQNaheUpdVCcvSymYFDokBe1XAbBt//fXXW+fQoUMVHx+vX3/91UoyXbRokZYtWybz+Vl2DrPyZo0aNWybyI2k0uTkZNsxhIdnb9tp28b/v9ApqdSEtWrVylqt1CSRmvfGvC5Tpoyb5olBIFsCVcsWkznvbFvVaud0QorMzyLzsycpOc362RPq+flTNiJYQQF+2eqrKFWuVq64HvGsCjp80kZX095x4LSGfrpWJYsH6Nr6UWpYs6T1vpjXJsnUvC8HjsVr0+6TWrLxmNbvPOmq3bNBdSqV0ENdap19ySMCCCCQqwIkleYqN50hgIA3BMxWGiZR1M0vc6a/bdu26dFHH9Xnn3/uje5pAwEEEChyAgvHvaKTh/dmOO/Q8NIklWaoQwECCCCAAAIIIIAAAggggAACCCCAQGEXKONZBc5sS6xmhX2mzC8/CYSEhKh9+/bWacaVkpJirZppdvA7e5rPyDJzVKlSRYGBgbZVikpS6Zo1a2R2TTSLBGR0vPPOO7blGdXjOgLeFigW7K/q5Yt7u9ki2Z5ZDXazZ3v6bxftcz3/E7HJmrF4v3W6ruQQGBEWqGH9GsisUMuBAAII5IUASaV5oU6fCCCQZQGzlUe3bt106NAh1220bNlSw4cPdx1PIAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIFScDf319NmjSxzocfftga+okTJ7RqTLeixgAAQABJREFU1SqtXLny3OOGDRusBNT05larVq30Ll9w7cCBAxe8zokXTiuVlixZMie6vaDNUqVKWZ9HlitX7oLr57+wSzg9P47nCCBQsAQe63GZYmKT9NMfR/Jk4MVD/PX6XxurfGRInvRPpwgggIARIKmUrwMEECgwAuPHj9f999+vhIQE12Pu3bu3PvroI5ktQTgQQAABBLIvEFmyuAID/JWcnKKjJ2Kz3yAtIIAAAggggAACCCCAAAIIIIAAAggggAACCOSIgEm+bNOmjXWe7SAxMVHr16/Xxo0bZRJMzz5u2bJFtWvXPhuW4WNhWqnU19dXFStWVN26dXXFFVeofv361mO9evUUFhaWoQEFCCBQuAV8fX30/H319cbEjfp+ac4n0p+vGelZofT1AU1Ug5Vnz2fhOQII5IEASaV5gE6XCCCQOQGztcTzzz+vl19+2XVFc2fgSy+9pGeffdZ1HQIRQAABBJwFGtetqrKR4Z6E0lOa8+sa5wpEIIAAAggggAACCCCAAAIIIIAAAggggAACCOQbAbMQy9kVTc8fVGpqquLi4s6/dMnztLS0TO0meEkDLi94a6VS83lh6dKlrcTRSpUqqUaNGqpZs+a5s3r16ixM4/I9IQyBoibg7+erZ+6up8plQvXxjG1KO5PzAvWqhWnofQ1UplRwzndGDwgggICDAEmlDkAUI4BA3gqYX1779OmjyZMnux5IaGioxo0bp+7du7uuQyACRV3gdPRh7V2/1KsMx/dvc2wv+sBObfr1O8e4zASUiKqgCnWuzEwVYhFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQKNICfn5+KlGihKPBr7/+aiWWHj58+NzjkSNHdOLEiXNndHS0YmJiFB8f79heegFOSaWRkZG68sorZR5N0qh5PPs8KirKSiI1K5CaMzAwML0uuIYAAgi4ErinfTU1qFFSr325XnuPZO17mlNH/n4+6nVDVfXtWF0mmZUDAQQQyA8CJJXmh3eBMSCAQLoC+/btU9euXbVixYp0y9O7aO4ynD59unWHZXrlXEMAgfQFDm77Q1Ne6Zt+YQ5e3f77XJnTm0e967ur21MferNJ2kIAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAoMgLmO3ir776atcOZjdCk1hqFpE5+2gSRs2qqOZMSUmxHk2cSWo17ZvHqlWr2vZRpUoV/f7777YxFCKAAALeEmjoSSr95OkWmjh/tybM26XY+BRvNa0W9SI1oFttVS1bzGtt0hACCCDgDQGSSr2hSBsIIOB1geXLl1sJpQcOHHDddvPmzTV16lSVL1/edR0CEUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDA+wJm+3mzw6A5ORBAAIGCLBDg76veHaqpeyvPIleL9mnmkv3afSguS1MKCfRTq0ZR6nl9FdWu5LxCdJY6oRICCCCQTQGSSrMJSHUEEPC+wKRJk9S3b99MbYnRq1cvffLJJwoODvb+gGgRgSIm4Ovro/Di3v0DT1Dgn//kCA0JVKkw795tl5CYpPjE5CL2TjFdBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDILYHQYH9rq3qzXf3mPSe1dONxrdwSrW37T+lEbPqfVQZ6ElIrRYWqQY1wXVknQs3rRiokyC+3hkw/CCCAQJYE/szwyFJ1KiGAAALeFRg2bJjMaba5cHOYOxxfeOEF63QTTwwCCDgLFA8NVqdWjZwDsxhRt3oFmdObx7qte7V6025vNklbCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAQLoCdSqHyZxmBVNznIpL1vGTSYpLTFFq2hkrcbR4SICiwoNkFvXhQAABBAqSAEmlBendYqwIFGKB+Ph49evXTxMnTnQ9y5CQEI0dO1Y9e/Z0XYdABBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAmwIlQgNkTg4EEECgMAiQVFoY3kXmgEAhEPjqq68ylVBaoUIFTZs2TU2bNi0Es2cKCOQvgbiEJP2yYpNXBxUY4K/mDWpabe7Ye0T7Dh/3avsxsfFebY/GEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBoihAUmlRfNeZMwL5UKBPnz5auHChxowZ4zi6q666ykoorVixomMsAQggkHmBlJRU7T5wLPMVbWoEBQacSyqNPnna6+3bdE0RAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAgEsBX5dxhCGAAAI5LjBq1Ci1bt3atp8ePXrop59+EgmltkwUIoAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAKZFmCl0kyTUQEBBHJKICAgQJMnT9bVV1+t7du3X9LNc889pxdffFE+Pj6XlHEBAQSyJxBRsZba9B2SvUYuqn3yyH6tmPHxRVcvfFmxblPVbtHpwovZfFW6ymXZbIHqCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIBA0RQgqbRovu/MGoF8K1C6dGl9++23atmypU6ePGmNMzg4WGPGjNFdd92Vb8fNwBAo6AKlyldTy56PenUa+zetcEwqLVerkdf79eokaAwBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEChCAr5FaK5MFQEE8ljg0KFDio2NdRxFvXr1NHHiRPn5+alcuXJasGABCaWOagQggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAtkTIKk0e37URgABlwKrV69W8+bNdc899ygtLc2xVseOHfXZZ59p6dKluvrqqx3jCUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEMieAEml2fOjNgIIuBCYPn26rrvuOu3evVvm+TPPPOOilnT33XercuXKrmIJQgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQyJ4ASaXZ86M2Agg4CLz++uu67bbbLtj23lz79NNPHWpSjAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAgggkJsC/rnZGX0hgEDREUhKStKDDz6osWPHpjvphx56SLVq1bJWME03gIsIIIAAAgggkGWBJau3ys/fV0lJKVlug4oIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAkVPgJVKi957zowRyHGBI0eOqF27dhkmlJoBmKTT7t27a8eOHTk+HjpAAAEEEECgqAkci4nV4WMndeJUXFGbOvNFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEMiGAEml2cCjKgIIXCqwdu1aNW/eXL/88sulhRddMcmnXbp00alTpy4q4SUCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggEBuC/jndof0hwAChVdgxowZuuuuuzKVJFq9enX5+PgUXhRmhgACCCCAQC4J3DTwdaWlpWbYW3Cx8AzLKEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQMAIkFTK1wECCHhFYMSIEXriiSc8ySxprtt7/PHH9dprr8nXl0WTXaMRiAACCDgI7F2/RGcy8b3YoTmrOCUp0TYsLTVZe9b+ZhuTlcLK9VtmpVqRrdOg3Z1Fdu5MHAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEDAOwIklXrHkVYQKLICycnJGjBggD7++GPXBoGBgXr//ff1l7/8xXUdAhFAAAEE3AlMGHKHkhNOuwv2UlRCbIw+f7qLl1r7XzM+nhsOnvn2sFfbpDEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQsBcgqdTeh1IEELAROHbsmG6//XYtXLjQJurCotKlS2vKlClq1arVhQW8QgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQyFMBkkrzlJ/OESi4Ahs2bFCXLl20bds215OoV6+evv32W9WoUcN1HQIRQAABBLIuEBwUIF8fn6w3kE5NP88Koubw8/FVaHBgOhFZv5R25owSEpOz3gA1EUAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBbAiSVZouPyggUTYHZs2frzjvvVExMjGuATp06acKECQoLC3Ndh0AEEEAAgewJ3HB1PZUsUSx7jWRQu1R4Md3armkGpVm7fOp0gr5dsCJrlamFAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAtkW+N9SU9luhgYQQKCoCIwcOVI333xzphJKH330UWuFUhJKi8pXCfNEAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBgijASqUF8V1jzAjkgUBKSooGDRqkDz74wHXvAQEBeuedd/Tggw+6rkMgAggggID3BNZt3aegAO/+c++y6uVVoliITsclaMP2/d4brKelpJRUr7ZHYwgggAACCCCAAAIIIIAAAggggAACCCCAAAII5IRAWtoZHYpO0L6jcToVl6K4xBT5+vgoNNhfpUoEqkqZUJUsHpgTXdMmAggggAACCCCQ4wLezTLI8eHSAQII5IVAdHS0evTooXnz5rnuPiIiQl9//bXatm3rug6BCCCAAALeFdi1/6h3G/S0Vrl8pJVUGp+UrM27Dnq9fRpEAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCA/Chw4Fq/5Kw9pxZZord1xQglJabbDLOVJKm1cu6SaXRapVg2jVCI0wDaeQgQQQAABBBBAIL8IkFSaX94JxoFAPhWIi4tTixYttHnzZtcjrFu3rrXdfa1atVzXIRABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBDITwJnzpzRr2uPauL83Vqz/USmhhYdm+RJQj1snSO+2qjWjcrornZVVatiiUy1QzACCCCAAAIIIJDbAiSV5rY4/SFQwARCQ0PVq1cvvfjii65G3qFDB02aNEklS5Z0FU8QAggggIB3BZp2fUCpyUlebXTV958pKT42wzb9g0J0Zed+GZZnpcDH1zcr1aiDAAIIIIAAAggggAACCCCAAAIIIIAAAggggIBXBFZtjdbbkzdr+4GM/z7utqPk1DOau+KQdV7XIEoDb62t8pEhbqsThwACCCCAAAII5KoASaW5yk1nCBRMgaFDh2rDhg366quvbCcwcOBAvfXWW/Lz87ONoxABBBBAIOcE2tz3nNcb3/jrdNuk0sDgYmrX393NB14fHA0igAACCCCAAAIIIIAAAggggAACCCCAAAIIIOBFgbjEFCuZ9PulB7zY6p9N/bLmiJZuPKYHbq6pnm2q/FnAMwQQQAABBBBAIJ8IkFSaT94IhoFAfhbw8fHR2LFjtWPHDi1fvvySofr7+1vJpA8//PAlZVxAAAEEjEBKaqrWbNljYRw9cQoUBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCDfCew8GKshY9Zoz+G4HB1bUnKa3p26RSs9q6E+2/sKFQsmdSNHwWkcAQQQQAABBDIlwL6imeIiGIGiKxASEqJp06apQoUKFyCYbe5nzZolEkovYOEFAghcJJCamqY1m/dY59Fokkov4uElAggggAACCCCAAAIIIIAAAggggAACCCCAAAII5LHAmu0nNOit33M8ofT8aS5ae1SPjvxdx08lnn+Z5wgggAACCCCAQJ4KkFSap/x0jkDBEjAJpdOnT5dJMDVH7dq1tXjxYrVv375gTYTRIoAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAv8vsG5HjJ54f6Vi41Ny3WTrvlgNHrlCMaeTc71vOkQAAQQQQAABBNITYA319FS4hkARE1iwYIHeeOMNff311woODrad/VVXXaXPPvtMo0aN0ldffaVSpUrZxlOIAAJFVyAkLEL1b7jDFqB8nSttyylEAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBHJSYPeh03pm9Colerakz8rh4yOFBPop7cwZJSRlrY3dh+P09Aer9NagKxXkaYsDAQQQQAABBBDISwGSSvNSn74RyAcCo0eP1sCBA5WcnKz7779fX3zxheOoevToIXNyIIAAAnYCpcpXU5fH37MLoQwBBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgTwXSElN07b9sdp9KE77jsbpVFyK4hNT5e/no5AgP0WGBalymVDVrFBcZUrZL9CS55NhAJkSSExK1QufrLHec7cVgwJ81aphlK6+vLQurxqm8pEh8vP1ZJZ6DtOeSRBds+OEfvnjiFZujZYn19TVsXH3SY38ZrOeuPNyV/EEIYAAAggggAACOSVAUmlOydIuAvlcIDU1VU8++aRGjBhxbqTjx49XvXr19Oyzz567xhMEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEECptAXGKKFq46rAWe84/tJ6wkUjdzrOBJIGxWN0I3Ni2vK6qHu6lCTD4WeG/aFu04eNrVCIMDfXVXu2rq3qqSSoQGpFvHrDJau1IJ6+zeqrL2HonTZ3N2aM6yg+nGX3zxu9/2q3ndSLVuVObiIl4jgAACCCCAAAK5JkBSaa5R0xEC+Ufg5MmT6tWrl2bNmnXJoIYMGaK6devq9ttvv6SMCwgggAACCPxfe3cCZVV15gv8q4F5EhCUwQHEAQcUjTimtdXutFGJGMUhiaZ92nbUpE2ajsZMJukMap4aW2OMyxhFE9LYKpiOidFotJ1tNIoTDoiIIKCiQjEVVa9uvYZGuFMV995z7uV31qpVdc/eZ+/v/HZlLYJ/9iZAgAABAgQIECBAgAABAgQIECBAgACBahZYuGRFTPnTnPjPtvBeZ447f+ud5THtoXntX9tu1TM+0xYyPHyfrdp2Na2vZpbNsvbMzqDTH55X1LvvNWqLuPAzu3V4p9rhg3q2P3f0/kPje5Ofi0VLVhac78rbZsXH2oLLPbuJcxTE0oEAAQIECBAoi4A/2ZaF1aAE0iswe/bsOPDAA7MGSjNVt7adv3DqqafGjBkz0vsSKiNAgAABAgQIECBAgAABAgQIECBAgAABAgQIECDQAYHMseTX/+7V+Mz3Ho7bHnizU4HSDad74+2m+OGvno/TL34s/nvWuxs2+5xygavajpov5mj6ow8YGv/37L07HChd//XH7NA/rps0Lnbeps/6t7P+vPj9lW3B5zeytrlJgAABAgQIEKiEgFBpJZTNQSAlAg8++GCMGzcunnvuubwVNTU1xfjx42P+/Pl5+2kkQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkHaBWXM/iNMveSwm3/16rF7TWvJy31jYFP/806fi0ikvRCa86kq/wFMvvxczZ79fsNBP7jc0Jp04Ohrq6wr2LdRhi95d28OpOwztXahrW/B5bixb0Vywnw4ECBAgQIAAgXIICJWWQ9WYBFIocMMNN8QRRxwRixcvLqq6efPmxU033VRUX50IECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIpFHgd4++Fedc8WTMW7y87OX9Z9tc/3j5E7Hg3fLPVfaXqfEJbv1z4Z1Ad9u+X3xl4s4llejdozG+f8aYyHzPdy1d3hy/f9wGQPmMtBEgQIAAAQLlExAqLZ+tkQmkQqClpSW++tWvxumnnx6rVq0qqqb6+vq49NJL4/zzzy+qv04ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE0iYw+e7ZcUnb7qHl2J0017vOnr+sPcT62vylubq4n7DAkqWr4tHn38lbRZeGurjws7tGY0PpIxVbD+gRX5ywU975M413PyFUWhBJBwIECBAgQKAsAqX/E1BZyjQoAQKdEVi6dGkce+yx7QHRYp/v06dPTJ8+PSZNmlTsI/oRIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQSJXAr++dE9f/7rVEanrng1Xxz1c/1bY7alMi85s0v8DDMxfHmpbWvJ2O+6ttYtiWPfP22ZTGT4wbEjsO75N3iJfmfmjX27xCGgkQIECAAIFyCQiVlkvWuAQSFpgzZ04ceOCBceeddxZdyfbbbx8PP/xwHHXUUUU/oyMBAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBNAncO2NBXHvnK50qqX/vrrHr9n1j310GxNgd+8eIIb2ia2PH/7P6e227Yf7LNU/Hh02rO1WHh8onMOPld/MOXl8XMfHQbfP2KUXjSYcVnmPGy++VYipjECBAgAABAgQ6JNDYod46EyBQFQKZYOiECRNi4cKFRdd70EEHxe233x6DBg0q+hkdCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRJ4I23l8WPp7zYoZJ2H9EvPrHvkNhv9MAY3L/7Rs82r2mJzK6RDz6zMH7/+PxYsrS4oOhb7yyPH/3q+fj+GXtuNKYbyQnMnP1+3sk/tvOAGNivW94+pWg8eI9B0aNbQyxfuSbncDNfez8+ud/QnO0aCBAgQIAAAQLlEBAqLYeqMQkkKDB58uQ488wzY+XKlUVXceqpp8Z1110XXbt2LfoZHQkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAikSaCl7Ujz79/8XCxflTukt369O2/TJ86dsFPsMXKL9W9v9HNjQ33stn2/9q+//7uRccdDb8Yvfz87bxhw7SAPtR21/p+Pzouj9h+29pbvCQqsbPvdWPDuirwV7LvLwLztpWrs1qUh9tphi3jk+XdyDjmnLSTtIkCAAAECBAhUWqDj+/RXukLzESBQlEBra2tceOGFkQmIFhsora+vjx/+8Idx4403CpQWpawTAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAWgWmPzyvfUfRQvXVtR1vfvqRI+OaL+9bMFC64VjdujbEiX+9Xfzygv1j1+37btic9fO101+J95cVt7tp1gHcLJlAZvfYQtfO2xa3roXGKaa90FxvLS5cbzHz6EOAAAECBAgQ6IiAUGlHtPQlkFKBZcuWxXHHHdceEC22xF69esVtt90WF1xwQbGP6EeAAAECBAgQIECAAAECBAgQIECAAAECBAgQIEAglQKZHSh/+fvXCtbW2FAX3/n8HnHqJ0ZEfX1burST11b9u8cV5+4TmSPMC10fNDXHr+99vVA37RUQWLq8ueAsQwZ0L9inVB2GDOyRd6gPlwsj5wXSSIAAAQIECJRFQKi0LKwGJVA5gblz58bBBx8cd9xxR9GTbrvttvHQQw/Fpz71qaKf0ZEAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAWgXufGReLFlaOID3tc/sGn+15+CSvEbXxvq46PO7xz479S843rT/mhcf2K20oFO5OzStXFNwil7dGwv2KVWHnt0a8g7VvKY1mte05O2jkQABAgQIECBQagGh0lKLGo9ABQUee+yxGDduXDz99NNFz7r//vvH448/HnvuuWfRz+hIgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAIM0C0x6aV7C8Ew7dJg7fe+uC/TrSobGhPr512h4xqF+3vI8tb9tJ9e4n5+fto7H8Al3adqotdGWCnJW61rQUnqthE3bUrdR7mIcAAQIECBCoLQGh0tpaT2+zmQk888wzsWDBgqLf+pRTTon77rsvttpqq6Kf0ZEAAQIECKwvMO/td+PlOQvizQXvrn/bzwQIECBAgAABAgQIECBAgAABAgQIEEhM4IU578fchU155x8ysHuccdQOeft0trFfry7xpU/vVPDxu58o/r/rFRxMh04J9CxiF9L3lq7q1Nideei9D/PP1aNtJ9O6usJB2M7M7RkCBAgQIECAQC4BodJcMu4TqAKBM888M84777yClWb+j8b3vve9uOWWW6J79+4F++tAgAABAgRyCbw4e348MfO1eP7Vwv/qP9cY7hMgQIAAAQIECBAgQIAAAQIECBAgQKCUAg/NXFxwuL8/cmR065L/qPGCg+Tp8PExg2PX7fvm6REx680PY9GSFXn7aCyvwIC+XQtOMGfBsoJ9StXh9QJzDSyi3lLVYhwCBAgQIECAwFoBodK1Er4TqFKBH//4x3HkkUfmrL5nz54xderU+MY3vpGzjwYCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC1Sow4+X8JysN6NM1Dhtb/pP8Jh66bUHCGS+/V7CPDuUTGLxF9+jeNX9M4i+vLilfARuM/EyBubYZ3GuDJ3wkQIAAAQIECJRfoLH8U5iBAIFyCjQ0NMSUKVPigAMOiOeff/4jUw0bNiymT58ee++990fu+0CAAAECBDoisO3uB0bT+7n/pX+3Xv06Mpy+BAgQIECAAAECBAgQIECAAAECBAgQKJnAmpbWmDX3w7zjHbrX4GhsyB8kzDtAkY0H7j6oPbC4YlVLzidenPNBfGLfITnbNZRfYOTQ3vH86x/knOjBZxbGuRN2LPux83MXNsXsAjuVjhrWO2edGggQIECAAAEC5RIQKi2XrHEJVFCgb9++ceedd8Z+++0Xixf//9DPvvvuG9OmTYshQ/yf0gouhakIECBQkwLH/PNPa/K9vBQBAgQIECBAgAABAgQIECBAgAABAtUvMP+d5dG8pjXvi+y904C87aVq7NpYH3uM3CKeeDH3zqlvtAUJXckKjB01IG+odOGSlfHo8+/EAbttWdZCpz/0ZsHxx47qX7CPDgQIECBAgACBUguU/59jlbpi4xEgkFVg5MiRcdttt0XXrl3jxBNPjD//+c8CpVml3CRAgAABAgQIECBAgAABAgQIECBAgAABAgQIEKgVgQXvrij4Kju07UxZqavQXAveXV6pUsyTQ2C/0YVDxr/8/WvR0rYLbrmuRUtWxPSH5+Udvke3hththJPC8iJpJECAAAECBMoiIFRaFlaDEkhG4OMf/3g8+uij8etf/zp69OiRTBFmJUCAAAECBAgQIECAAAECBAgQIECAAAECBAgQIFAhgaYVzQVnGty/e8E+peowaIv8czWtWFOqqYzTSYHMbrJbD8i/Ti/N/TCmFbGTaCdLiJ/8x6xYubol7+OH7jk4unVpyNtHIwECBAgQIECgHAJCpeVQNSaBBAXGjh0bdXV1CVZgagIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKVEVixOn9Is7GhLhrqK/ffznp0zR8CLFRvZdQ271ky/y31yP2GFkS4Ztor8dLcDwr262iH/3hgbvzXs4sKPvbJ/QvXWHAQHQgQIECAAAECnRAQKu0EmkcIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAIHmBQjs5Nq9pjTVlPMZ8Q4FCodFuXfwn+g3Nkvh83MeHR+Z4+XzXquaWOP/ap2POgmX5unWo7d4ZC+Kq22cVfGbMDltEZkdVFwECBAgQIEAgCQF/Yk1C3ZwECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgsMkCvbrnDwZmJnjn/ZWbPE+xAyxekn+uXt0bix1KvzIK9OnZJU44ZJuCMyxZujq+eOWT8dTL7xbsW6jDb+6bE/86+blobS3UM+L0I0cW7qQHAQIECBAgQKBMAkKlZYI1LAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAiUV2DwFt0LTvDa/KUF+5SqQ6G5BvcvXG+pajFOfoHPHLF9bD2g8Hp80NQcX/npU3H1HbOiaUVz/kGztL61eHl89WdPxTXTXikqUHr43lvFXqP6ZxnJLQIECBAgQIBAZQSESivjbBYCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQKLHA0C17REN9Xd5RZ8x6L297qRqb17TEM68uyTvctoN75m3XWDmBbl0b4qsnjY66/L8+7QVldhedev/cOOm7D8UNd70W899ZXrDQ515/Py7+1fPxuR88Eo+/WNxOpwP6do1zJ+xUcGwdCBAgQIAAAQLlFLC3fjl1jU2AAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECZRNobKiPUcN6x0tzP8w5x31Pvx3/OH5U1BcIn+YcoMiGx55/J5pWrsnbe+dt++Zt11hZgb13GhCn/u2IuPEPs4uaOLNraaZv5mvbrXrG6Lb1HLZlz+jVozFaWlrj/WWrY+7Cpnj2tSXx7oerihpzbafMr+c3P7d79O/Tde0t3wkQIECAAAECiQgIlSbCblICBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQKIXA2B0H5A2VLlqyMh58dlEcsufgUkyXc4xbH5ibs21tw1jHmq+lSM33z//diHhzUVPcO+PtDtX0xttNkfkq1fWVibvE2B0de18qT+MQIECAAAECnReo7/yjniRAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAskKHLjbwIIF/OJ3r0XmePpyXU++9G489fJ7eYcfsXWvGDKwR94+GisvUFdXF1/7zK5x0O5bVn7y/5kxs5Pu0QcMS2x+ExMgQIAAAQIE1hcQKl1fw88ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUFUCe4zcIrYe0D1vzXPeXhY3//H1vH0629i0ojkun/piwcf/dt+tC/bRIRmBxob6+O7pY+KT+w2taAENbWfef/Wk0XHSYdtVdF6TESBAgAABAgTyCQiV5tPRRoAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpFsjsNDn+wMK7PN74h9nx2POLS/ouLS2t8YNbno95i5fnHbdrY318YtyQvH00JivQHvA8eXR8+YSdI7Ne5b4GbdEtrjh37/jk/pUNspb7vYxPgAABAgQIVL9A+f8kVP1G3oAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEUixw7MHDo3ePxrwVtrZGfOuGZ+O/Z72bt1+xjWvaAqWXTnkh/uvZRQUfOaotODigT7eC/XRIXuBTBw2Pa/953xizwxZlK+boA4bG9f+yX2R22XURIECAAAECBNImIFSathVRDwECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0SKBn98b47N9sX/CZlatb4vxrn45pD71ZsG++DkuWroqv/fzpuOvx+fm6tbf17NZQVG0FB9KhYgIjhvSOK7+4T3z7tN1jxJBeJZv3gF0Hxs++sm9MOnF09O3VpWTjGogAAQIECBAgUEqB/P9Uq5QzGYsAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECJRJ4PhDtonft4U8X1+wLO8MzWta4/KpL8WDzyyKcyfsGNtv3Ttv//UbM7uT3v3E/Lj2zldiydLV6zfl/Pn0T46Mgf3sUpoTKMUNfz12qzh0r8Hx5Evvxh/a1j2zK+2KVS0dqnhg365x+N5bx5H7DWkLqBb/u9ahSXQmQIAAAQIECJRQQKi0hJiGIkCAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIFkBBob6uPrn90tzr78iVjdFhwtdGWCgp//0WNx4O5bxt/tOyT22XlA9Grb8TTb9eaipnjgLwvjt4+8FW+9szxbl6z3xu7YP477+DZZ29ysDoG6urrYd5eB7V+rm1vi+dffj2deWxJz3l4Wby5aHh82rY7lK9dEfX1dZHal7d+na2wzuGd7gDSz/iO27hWZMVwECBAgQIAAgWoRyP4n4mqpXp0ECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQOB/BHYc3ie+eNxOcVnbTqTFXg/PXByZr7ZMYFsYsFcMHdg9eraFSzO7kmaOuZ+zoCnea/ve0SuzQ+U3Prdbe9iwo8/qn06BLo31seeo/u1f6axQVQQIECBAgACBTRcQKt10QyMQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQEoExh80PN5+b0Xccs+cDlXUliFt330yswPlpl69ezTGpf84Ngb2dez9plp6ngABAgQIECBAoLIC9ZWdzmwECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKC8AmcePSpOOCSZY+f79GyMS87aK0YO7V3elzQ6AQIECBAgQIAAgTIICJWWAdWQBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJCswDkTdoqzjhkVdW3H2lfq2npA97jqSx+LXbfvV6kpzUOAAAECBAgQIECgpAJCpSXlNBgBAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIpEXg5MO3i8vOHhsD+nYte0kH7zEorps0LrbbulfZ5zIBAQIECBAgQIAAgXIJCJWWS9a4BAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJC4wNgdB8SNF+wfnzpoWFl2Ld2yX7f49mm7x7/+nzHRp2eXxN9XAQQIECBAgAABAgQ2RaBxUx72LAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQSLtAJuz55RN2iQkfHx43//H1+NOMt6OlddOqHti2++mJh20X4w8cFt27NmzaYJ4mQIAAAQIECBAgkBIBodKULIQyCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKC8Attv3Tu+8bnd4wvjd4x7ZiyI+59eGC+98UHRAdM+PRvjYzsPiL/52JAYt8uAaGxwOGh5V8zoBAgQIECAAAEClRYQKq20uPkIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAIFGBgW1H1p/419u1fy1b0RzPv/5+vPF2U8xb3BQfNjXH8lVroqG+Lnp2a4gBfbvFtoN7xsihvWOHtq/6tvsuAgQIECBAgAABArUqIFRaqyvrvQgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgoECv7o2x7y4D278KdtaBAAECBAgQIECAQI0L2Iu/xhfY6xEgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEihEQKi1GSR8CBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQI0LCJXW+AJ7PQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAMQJCpcUo6UOAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQqHEBodIaX2CvR4AAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAoRkCotBglfQgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECNS4gVFrjC+z1CBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLFCAiVFqOkDwECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgxgWESmt8gb0eAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKAYAaHSYpT0IUCAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAjUuIBQaY0vsNcjQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBQjIFRajJI+BAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEaFxAqrfEF9noECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgWIEhEqLUdKHAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIFDjAkKlNb7AXo8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgUIyAUGkxSvoQIECAAAECBAgQIECAAAECBAjkFXjmmWfipJNOiueeey5vP40ECBAgQIAAAQIECBAgQIAAAQIECBAgULsC3/jGN+KSSy6JZcuW1e5L1vibCZXW+AJ7PQIECBAgQIAAAQIECBAgQIBAJQRaWlriN7/5Teyxxx7CpZUANwcBAgQIECBAgAABAgQIECBAgAABAgRSKLBo0aI4//zzY8SIEcKlKVyfYkoSKi1GSR8CBAgQIECAAAECBAgQIECAAIGiBFpbW4VLi5LSiQABAgQIECBAgAABAgQIECBAgAABArUrIFxavWsrVFq9a6dyAgQIECBAgAABAgQIECBAgEBqBYRLU7s0CiNAgAABAgQIECBAgAABAgQIECBAgEDFBIRLK0ZdsomESktGaSACBAgQIECAAAECBAgQIECAAIENBYRLNxTxmQABAgQIECBAgAABAgQIECBAgAABApufgHBp9ay5UGn1rJVKCRAgQIAAAQIECBAgQIAAAQJVK7B+uPTEE0+M5557rmrfReEECBAgQIAAAQIECBAgQIAAAQIECBAg0DkB4dLOuVXyKaHSSmqbiwABAgQIECBAgAABAgQIECCwmQtkwqX//u//HnvssUdkwqUzZ87czEW8PgECBAgQIECAAAECBAgQIECAAAECBDY/AeHS9K65UGl610ZlBAgQIECAAAECBAgQIECAAIGaFVgbLh0zZoxwac2ushcjQIAAAQIECBAgQIAAAQIECBAgQIBAfgHh0vw+SbQKlSahbk4CBAgQIECAAAECBAgQIECAAIF2AeFSvwgECBAgQIAAAQIECBAgQIAAAQIECBAgIFyant8BodL0rIVKCBAgQIAAAQIECBAgQIAAAQKbrYBw6Wa79F6cAAECBAgQIECAAAECBAgQIECAAAEC6wSES9dRJPaDUGli9CYmQIAAAQIECBAgQIAAAQIECBDYUEC4dEMRnwkQIECAAAECBAgQIECAAAECBAgQILD5CQiXJrfmQqXJ2ZuZAAECBAgQIECAAAECBAgQIEAgh4BwaQ4YtwkQIECAAAECBAgQIECAAAECBAgQILAZCQiXVn6xhUorb25GAgQIECBAgAABAgQIECBAgACBIgWES4uE0o0AAQIECBAgQIAAAQIECBAgQIAAAQI1LCBcWrnFFSqtnLWZCBAgQIAAAQIECBAgQIAAAQIEOimwfrh04sSJMXPmzE6O5DECBAgQIECAAAECBAgQIECAAAECBAgQqFYB4dLyr5xQafmNzUCAAAECBAgQIECAAAECBAgQIFAigUy4dOrUqTFmzJgQLi0RqmEIECBAgAABAgQIECBAgAABAgQIECBQZQLCpeVbMKHS8tkamQABAgQIECBAgAABAgQIECBAoEwCwqVlgjUsAQIECBAgQIAAAQIECBAgQIAAAQIEqkhAuLT0i9VY+iGNSOCjAq+//npMmTLlozd9IkCAAAECBAgQIECAAAECBGpKIPP//5O41oZLb7311jj++OPjW9/6Vuy+++5JlGJOAgQIECggcM8998TcuXML9NJMgAABAgQIECBAgAABAgQIVLPAK6+8kkj5a8OlP/7xj2PSpElxzjnnRK9evRKppdonrWv7i/fWan8J9ScrcOyxx8a0adOSLcLsBAgQIECAAAECBAgQIECAAIE2gbq6OuFSvwkECBBIQGD+/PkxdOjQBGY2JQECBAgQIECAAAECBAgQIEBgY4FBgwYJl27MUtSd+qJ66USAAAECBAgQIECAAAECBAgQIECgCgTW7lw6ZsyYmDhxYsycObMKqlYiAQIECBAgQIAAAQIECBAgQIAAAQIECJRSYO3OpSNGjIhLLrkkli1bVsrha3osodKaXl4vR4AAAQIECBAgQIAAAQIECBDYPAWESzfPdffWBAgQIECAAAECBAgQIECAAAECBAgQWF9AuHR9jeJ+rmv7C/bW4rrqRSC7wHnnnRf33XffusbMMUeZ/zG6CBAgQIAAAQIECBAgQIAAAQJpEairq4vjjz8+Lr/88hg2bFhaylIHAQIEakYg83fCRxxxxEfeJ7NbdEtLy0fu+UCAAAECBAgQIECAAAECBAgQSFJg0KBBceGFF0Ym8+bKLiBUmt3F3U0QyPyP7oc//OEmjOBRAgQIECBAgAABAgQIECBAgEBpBfbee+/49re/HePHjy/twEYjQIAAgZwC/fv3jyVLluRs10CAAAECBAgQIECAAAECBAgQqKRAly5d4vOf/3x8/etfj+22266SU1fVXI1VVa1iCRAgQIAAAQIECBAgQIAAAQIECHRAQJi0A1i6EiBAgAABAgQIECBAgAABAgQIECBAoAYFhEk7tqhCpR3z0psAAQIECBAgQIAAAQIECBAgQKAKBIRJq2CRlEiAAAECBAgQIECAAAECBAgQIECAAIEyCgiTdg5XqLRzbp7KI1BfXx8NDQ15emgiQIAAAQIECBAgQIAAAQIEak2gtbU1WlpaEn8tYdLEl0ABBAgQWCfQ2Njo74rXafiBAAECBAgQIECAAAECBAhsHgKZvyfO/H1xkpcw6abp17UtYLIruGn1e5oAAQIECBAgQIAAAQIECBAgQCAFAk8//XSMHTs2sUqESROjNzEBAgQIECBAgAABAgQIECBAgAABAgTWCZx11lnx85//fN3nSv4gTFoabTuVlsbRKAQIECBAgAABAgQIECBAgAABAgkICJMmgG5KAgQIECBAgAABAgQIECBAgAABAgQIpEhAmLS0iyFUWlpPoxEgQIAAAQIECBAgQIAAAQIECFRAQJi0AsimIECAAAECBAgQIECAAAECBAgQIECAQIoFhEnLszhCpeVxNSoBAgQIECBAgAABAgQIECBAgEAZBIRJy4BqSAIECBAgQIAAAQIECBAgQIAAAQIECFSRgDBpeRdLqLS8vkYnQIAAAQIECBAgQIAAAQIECBAogYAwaQkQDUGAAAECBAgQIECAAAECBAgQIECAAIEqFhAmrcziCZVWxtksBAgQIECAAAECBAgQIECAAAECnRAQJu0EmkcIECBAgAABAgQIECBAgAABAgQIECBQQwLCpJVdTKHSynqbjQABAgQIECBAgAABAgQIECBAoAgBYdIikHQhQIAAAQIECBAgQIAAAQIECBAgQIBADQsIkyazuEKlybiblQABAgQIECBAgAABAgQIECBAIIuAMGkWFLcIECBAgAABAgQIECBAgAABAgQIECCwGQkIkya72EKlyfqbnQABAgQIECBAgAABAgQIECBAoE1AmNSvAQECBAgQIECAAAECBAgQIECAAAECBDZvAWHSdKy/UGk61kEVBAgQIECAAAECBAgQIECAAIHNUkCYdLNcdi9NgAABAgQIECBAgAABAgQIECBAgACBdQLCpOsoUvGDUGkqlkERBAgQIECAAAECBAgQIECAAIHNS0CYdPNab29LgAABAgQIECBAgAABAgQIECBAgACBDQWESTcUScdnodJ0rIMqCBAgQIAAAQIECBAgQIAAAQKbhYAw6WaxzF6SAAECBAgQIECAAAECBAgQIECAAAECOQWESXPSpKJBqDQVy6AIAgQIECBAgAABAgQIECBAgEBtC4wdOzYuuuiiGD9+fG2/qLcjQIAAAQIECBAgQIAAAQIECBAgQIAAgawCwqRZWVJ3U6g0dUuiIAIECBAgQIAAAQIECBAgQIBA7QgIk9bOWnoTAgQIECBAgAABAgQIECBAgAABAgQIdEZAmLQzask9I1SanL2ZCRAgQIAAAQIECBAgQIAAAQI1KyBMWrNL68UIECBAgAABAgQIECBAgAABAgQIECBQlIAwaVFMqeskVJq6JVEQAQIECBAgQIAAAQIECBAgQKB6BYRJq3ftVE6AAAECBAgQIECAAAECBAgQIECAAIFSCAiTlkIxuTHqWtuu5KY3MwECBAgQIECAAAECBAgQIECAQC0IzJ07N5566qkYP358LbyOdyBAgAABAgQIECBAgAABAgQIECBAgACBTgjceeedMWbMmNhuu+068bRH0iAgVJqGVVADAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBhgfqE5zc9AQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBACgSESlOwCEogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQtIFSa9AqYnwABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECCQAgGh0hQsghIIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAkkLCJUmvQLmJ0CAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAikQECoNAWLoAQCBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQNICQqVJr4D5CRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIpEBAqTcEiKIEAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkLSAUGnSK2B+AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAKBIRKU7AISiBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIJC0gVJr0CpifAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIJACgcYU1KAEAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgEDZBV544YWYOnVqLF68OJYvXx4NDQ3Ru3fvGDduXEycOLHT8z/66KPxhz/8IRYtWhQrV66MLl26RK9evdrHPeGEEzo9rgcJECBAgAABApUWECqttLj5CBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgUQETjnllHj66aezzj1w4MA4/PDDs7blu3n99dfHmWeeGa2trVm7ZQKsmbFdBAgQIECAAIFqEKivhiLVSIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDYVIFBgwblHOLKK6/M2Zar4eGHH46zzz47Z6D005/+tEBpLjz3CRAgQIAAgVQK1LX9S5ns/1QmleUqigABAgQIECBAYFMEHOuzKXqeJUCAAAECBAgQIECAAAECBAgQIECAAIFqF5gyZUqcfPLJWV+jvr4+XnnllRgxYkTW9g1vvvXWW7HPPvvEggULNmxq/zx69Oh45JFHol+/flnb3SRAgAABAgQIpFFAqDSNq6ImAgQIECBAgECZBMaOHZvzWJ977rnHsT5lcjcsAQIECBAgQIAAAQIECBAgQIAAAQIECKRDoLm5uT00+uabb2YtaNKkSXHppZdmbVv/5sqVK+OQQw6Jxx57bLzjyL8AAB3mSURBVP3b637u379/PP744zFq1Kh19/xAgAABAgQIEKgGgfpqKFKNBAgQIECAAAECpRFwrE9pHI1CgAABAgQIECBAgAABAgQIECBAgAABAtUp0NjYGF/84hdzFn/99ddHU1NTzva1DZkj73MFSjNzTJ06VaB0LZbvBAgQIECAQFUJCJVW1XIplgABAgQIECCwaQKnn356zgF++9vfxuzZs3O2b9iQOdbn05/+dKxatWrDpvbPmWN9Mn/55iJAgAABAgQIECBAgAABAgQIECBAgAABAmkSOPPMM6NXr15ZS3rvvffilltuydq29ubVV18dv/jFL9Z+3Oj75Zdf3qmTwTYayA0CBAgQIECAQAICQqUJoJuSAAECBAgQIJCUwPHHHx/Dhw/POn1LS0v89Kc/zdq24c3MsT7HHXdcLFiwYMOm9s+ZY32mT58e/fr1y9ruJgECBAgQIECAAAECBAgQIECAAAECBAgQSEog83fYp512Ws7p/+3f/i1n2wMPPBBf/vKXc7afddZZce655+Zs10CAAAECBAgQSLuAUGnaV0h9BAgQIECAAIESCjjWp4SYhiJAgAABAgQIECBAgAABAgQIECBAgACBqhX4p3/6p6irq8ta/7PPPht//vOfN2qbO3dunHDCCbF69eqN2jI3Dj300MgXSM36kJsECBAgQIAAgZQJCJWmbEGUQ4AAAQIECBAot4BjfcotbHwCBAgQIECAAAECBAgQIECAAAECBAgQSLvATjvtFEcddVTOMjcMh65YsaL9BK+FCxdmfWbkyJFx6623RpcuXbK2u0mAAAECBAgQqBYBodJqWSl1EiBAgAABAgRKJOBYnxJBGoYAAQIECBAgQIAAAQIECBAgQIAAAQIEqlrgvPPOy1n/HXfcEZmdSddemWPtn3zyybUfP/K9T58+MX369Bg4cOBH7vtAgAABAgQIEKhGAaHSalw1NRMgQIAAAQIENlHAsT6bCOhxAgQIECBAgAABAgQIECBAgAABAgQIEKh6gcMPPzzGjBmT9T3WrFkT11xzTXvbT37yk7jpppuy9quvr49bbrkldtttt6ztbhIgQIAAAQIEqk1AqLTaVky9BAgQIECAAIESCDjWpwSIhiBAgAABAgQIECBAgAABAgQIECBAgACBqhfIt1vpddddF3fddVdMmjQp53v+4Ac/iGOOOSZnuwYCBAgQIECAQLUJ1LW2XdVWtHoJECBAgAABAgQ2XeDee++NI444IutADQ0NMXv27Nhmm23a20877bSc/wo7c6zPI4884l9hZ5V0kwABAgQIECBAgAABAgQIECBAgAABAgTSLLBy5crYdtttY+HChR0u87Of/WxMnjy5w895gAABAgQIECCQZgE7laZ5ddRGgAABAgQIECijgGN9yohraAIECBAgQIAAAQIECBAgQIAAAQIECBCoCoFu3brFF77whQ7Xut9++0VmJ1MXAQIECBAgQKDWBOxUWmsr6n0IECBAgAABAh0QuOGGG+L000/P+sSWW27Zvjvp+PHjo7m5OWufH/3oR3H++ednbXOTAAECBAgQIECAAAECBAgQIECAAAECBAhUg0Bml9LMbqWZXUuLuYYNGxZPPPFEDBkypJju+hAgQIAAAQIEqkpAqLSqlkuxBAgQIECAAIHSCjjWp7SeRiNAgAABAgQIECBAgAABAgQIECBAgACB6hTIbMCQ2Yih0NWjR4948MEHY5999inUtcPta9asibvvvjvmz5/f/mxm84cjjzwyunTp0uGxPECAAAECBAgQ6KyAUGln5TxHgAABAgQIEKgRgYsuuii+853vdOhtMsf63H///dG9e/cOPaczAQIECBAgQIAAAQIECBAgQIAAAQIECBBIo8Cjjz4aBxxwQMHSpkyZEieeeGLBfh3t8NRTT8UZZ5wRM2bM+Mijt912W0yYMOEj93wgQIAAAQIECJRToL6cgxubAAECBAgQIEAg/QJnn312dOvWrehCM8f63H777QKlRYvpSIAAAQIECBAgQIAAAQIECBAgQIAAAQJpFmhtbY3LLrusqBIPOeSQovoV22n58uVxwQUXxLhx4zYKlGbGyOxe6iJAgAABAgQIVFJAqLSS2uYiQIAAAQIECKRQYPDgwXHKKacUVVnmWJ9p06bFkCFDiupfbKfMX4rddddd8Ytf/KL9a/r06bF69epiH9ePAAECBAgQIECAAAECBAgQIECAAAECBAh0WuCb3/xmTJ06tajnr7766qL6FdPpvvvuizFjxsTFF18czc3NxTyiDwECBAgQIECg7AJ1bf/iprXss5iAAAECBAgQIEAg1QJJHuvjSJ9U/2oojgABAgQIECBAgAABAgQIECBAgAABAjUtcPPNN8fnPve5ot9xyy23jDfeeCMymzB09lqyZElMmjQprr/++oJDZMKuxx9/fMF+OhAgQIAAAQIESiVgp9JSSRqHAAECBAgQIFClAkkd6+NInyr9hVE2AQIECBAgQIAAAQIECBAgQIAAAQIEakTg4YcfjjPOOKNDb7N48eK46aabOvTM+p1/97vfxejRo4sKlK7/nJ8JECBAgAABApUSECqtlLR5CBAgQIAAAQIpFUjiWB9H+qT0l0FZBAgQIECAAAECBAgQIECAAAECBAgQ2EwEXn/99Tj22GNj5cqVHX7jK664IjpzKGzmmZNPPjkWLFjwkTkbGhrinHPOia9//esfue8DAQIECBAgQCAJAaHSJNTNSYAAAQIECBBIiUDmWJ/vf//7RVfzs5/9LDI7jHb2yhzpk/lX34cddli88sornR3GcwQIECBAgAABAgQIECBAgAABAgQIECBAoNMCH3zwQRx99NGxaNGirGPssssu8cwzz0Qm7JntevHFFyOz42hHrxUrVkRm7vWvgw46KJ588sm46qqron///us3+ZkAAQIECBAgkIiAUGki7CYlQIAAAQIECCQvUOljfRzpk/yaq4AAAQIECBAgQIAAAQIECBAgQIAAAQKbu8CaNWvipJNOiueeey4rRd++feOOO+6IPfbYoz14mrVT283LLrssV1PO+127do26urr29q222ipuvPHGePDBB2OvvfbK+YwGAgQIECBAgEClBYRKKy1uPgIECBAgQIBACgQqfayPI31SsOhKIECAAAECBAgQIECAAAECBAgQIECAAIH4yle+EnfddVdWiUzgc/LkybHzzju3t5977rlZ+2Vu/ulPf4q//OUvOduzNWR2Pr3iiivi8ssvj1mzZsWpp566LmSarb97BAgQIECAAIEkBIRKk1A3JwECBAgQIEAgQYEkjvVxpE+CC25qAgQIECBAgAABAgQIECBAgAABAgQIEGgXuOaaa+LKK6/MqfHNb34zxo8fv679iCOOiNGjR6/7vOEPndmt9Etf+lKcd955kdkR1UWAAAECBAgQSKOAUGkaV0VNBAgQIECAAIEyCSR1rI8jfcq0oIYlQIAAAQIECBAgQIAAAQIECBAgQIAAgaIE/vjHP0Ym0JnrOvroo+Oiiy7aqPmcc87Z6N7aG1OmTIn58+ev/eg7AQIECBAgQKAmBIRKa2IZvQQBAgQIECBAoDiBpI71caRPceujFwECBAgQIECAAAECBAgQIECAAAECBAiUXuDFF1+MiRMnRnNzc9bBd9ppp7j55puzHkWfOaK+T58+WZ9btWpVXHXVVVnb3CRAgAABAgQIVKuAUGm1rpy6CRAgQIAAAQIdFEj6WB9H+nRwwXQnQIAAAQIECBAgQIAAAQIECBAgQIAAgU0WeOeddyKzC+mSJUuyjpUJjN5xxx3Rr1+/nO2nnXZa1rbMzWuvvTaamppytmsgQIAAAQIECFSbgFBpta2YegkQIECAAAECnRBwrE8n0DxCgAABAgQIECBAgAABAgQIECBAgAABAlUtkNlJ9LjjjotXX30163vU1dXFjTfeGKNHj87avvbmOeeck3UX00x7JrSaGcNFgAABAgQIEKgVAaHSWllJ70GAAAECBAgQyCHgWJ8cMG4TIECAAAECBAgQIECAAAECBAgQIECAQE0LnHXWWfHAAw/kfMcLL7wwJkyYkLN9bcMuu+wShx9++NqPG32/4oororW1daP7bhAgQIAAAQIEqlFAqLQaV03NBAgQIECAAIEiBRzrUySUbgQIECBAgAABAgQIECBAgAABAgQIECBQUwIXX3xx/PKXv8z5TkceeWR897vfzdm+YcO555674a11n2fNmhW//e1v1332AwECBAgQIECgmgWESqt59dROgAABAgQIEMgj4FifPDiaCBAgQIAAAQIECBAgQIAAAQIECBAgQKBmBaZNmxZf+9rXcr7fqFGj4le/+lXU1xcfmTj66KNju+22yzlmZrdSFwECBAgQIECgFgSK/xNSLbytdyBAgAABAgQIbEYCjvXZjBbbqxIgQIAAAQIECBAgQIAAAQIECBAgQIDAOoHMrqK5jqPv1atX3H777bHFFlus61/MDw0NDXH22Wfn7Hr//ffHypUrc7ZrIECAAAECBAhUi4BQabWslDoJECBAgAABAh0QcKxPB7B0JUCAAAECBAgQIECAAAECBAgQIECAAIGaEciESTPB0WzX1ltvHVOnTo3dd989W3PBe2eccUYMGTIka7+DDz44Ghsbs7a5SYAAAQIECBCoJgF/oqmm1VIrAQIECBAgQKAIgXIe6zNnzpysFWSO9TnmmGOytrlJgAABAgQIECBAgAABAgQIECBAgAABAgQqJVBXVxcvvPBCzJ49O5YsWRKrV6+OHj16xIABA2L48OGbVEZmjDfeeCNeffXVWLp0aTQ3N0fPnj1j0KBBkQmsuggQIECAAAECtSAgVFoLq+gdCBAgQIAAAQLrCZTzWJ/zzz9/vZn+98e1x/p069btf2/6iQABAgQIECBAgAABAgQIECBAgAABAgQIJCCQCZaOHDmyLDNndiPdeeedyzK2QQkQIECAAAECaRCoT0MRaiBAgAABAgQIECiNgGN9SuNoFAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgsDkK2Kl0c1x170yAAAECBAjUrIBjfWp2ab0YAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAou4BQadmJTUCAAAECBAgQqKyAY30q6202AgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBQKwL1tfIi3oMAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDzAkKlnbfzJAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgZgSESmtmKb0IAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKDzAkKlnbfzJAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgZgQaa+ZNvAgBAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAIMUCZ599dkyePDlrhUuXLt3o/gknnBC9e/fe6P7JJ58cP//5zze67wYBAgQIECBAYFMFhEo3VdDzBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEiBKZPnx7ZwqP5Hs3W/5577sn3iDYCBAgQIECAQKcF6jv9pAcJECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgSKFmhpaSm6b76OXbt2zdesjQABAgQIECDQaQGh0k7TeZAAAQIECBAgQKAjApkjffr06ZP1a9KkSRsNlTnSJ1v/f/iHf9iorxsECBAgQIAAAQIECBAgQIAAAQIECBAgQKAaBA477LCSlLn33nuXZByDECBAgAABAgQ2FKhrbbs2vOkzAQIECBAgQIAAgVILDB8+PObNm7fJw44YMSJee+21TR7HAAQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgMBHBexU+lEPnwgQIECAAAECBMok4EifMsEalgABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIlEhAqLREkIYhQIAAAQIECBDIL+BIn/w+WgkQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQNICda1tV9JFmJ8AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQCBZATuVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgSESlOxDIogQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECCQrIFSarL/ZCRAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKpEBAqTcUyKIIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkKyAUGmy/mYnQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECKRCQKg0FcugCAIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAsgJCpcn6m50AAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgkAoBodJULIMiCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQLJCgiVJutvdgIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAKgT+H7AyMUIXULWAAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 41,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='figures/05_11.png', width=500) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizing data via t-distributed stochastic neighbor embedding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "\n",
    "digits = load_digits()\n",
    "\n",
    "fig, ax = plt.subplots(1, 4)\n",
    "\n",
    "for i in range(4):\n",
    "    ax[i].imshow(digits.images[i], cmap='Greys')\n",
    "    \n",
    "# plt.savefig('figures/05_12.png', dpi=300)\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "digits.data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_digits = digits.target\n",
    "X_digits = digits.data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sebastian/miniforge3/lib/python3.9/site-packages/sklearn/manifold/_t_sne.py:790: FutureWarning: The default learning rate in TSNE will change from 200.0 to 'auto' in 1.2.\n",
      "  warnings.warn(\n",
      "/Users/sebastian/miniforge3/lib/python3.9/site-packages/sklearn/manifold/_t_sne.py:982: FutureWarning: The PCA initialization in TSNE will change to have the standard deviation of PC1 equal to 1e-4 in 1.2. This will ensure better convergence.\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "from sklearn.manifold import TSNE\n",
    "\n",
    "\n",
    "tsne = TSNE(n_components=2,\n",
    "            init='pca',\n",
    "            random_state=123)\n",
    "X_digits_tsne = tsne.fit_transform(X_digits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.patheffects as PathEffects\n",
    "\n",
    "\n",
    "def plot_projection(x, colors):\n",
    "    \n",
    "    f = plt.figure(figsize=(8, 8))\n",
    "    ax = plt.subplot(aspect='equal')\n",
    "    for i in range(10):\n",
    "        plt.scatter(x[colors == i, 0],\n",
    "                    x[colors == i, 1])\n",
    "\n",
    "    for i in range(10):\n",
    "\n",
    "        xtext, ytext = np.median(x[colors == i, :], axis=0)\n",
    "        txt = ax.text(xtext, ytext, str(i), fontsize=24)\n",
    "        txt.set_path_effects([\n",
    "            PathEffects.Stroke(linewidth=5, foreground=\"w\"),\n",
    "            PathEffects.Normal()])\n",
    "        \n",
    "plot_projection(X_digits_tsne, y_digits)\n",
    "# plt.savefig('figures/05_13.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "Readers may ignore the next cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[NbConvertApp] WARNING | Config option `kernel_spec_manager_class` not recognized by `NbConvertApp`.\n",
      "[NbConvertApp] Converting notebook ch05.ipynb to script\n",
      "[NbConvertApp] Writing 20329 bytes to ch05.py\n"
     ]
    }
   ],
   "source": [
    "! python ../.convert_notebook_to_script.py --input ch05.ipynb --output ch05.py"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
